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Tap Drill Chart: Percent Thread Engagement for Unified Threads

All 193 tap drill sizes for 54 Unified thread sizes (machine screw and fractional), with percent thread engagement for every valid drill. Includes 5 documented corrections to Machinery's Handbook, 31st ed. Searchable, sourced, and printable.

193 of 193 sizes

Thread Tap Drill Decimal (in) % Thread
0-80 1.30mm 0.0512 54%
0-80 1.25mm 0.0492 68%
0-80 1.20mm 0.0472 79%
1-64 1/16" 0.0625 51%
1-64 1.55mm 0.0610 59%
1-64 #53 0.0595 66%
1-64 0.0590" 0.0590 69%
1-64 1.45mm 0.0571 77%
1-72 #52 0.0635 53%
1-72 1/16" 0.0625 58%
1-72 1.55mm 0.0610 66%
1-72 #53 0.0595 75%
1-72 0.0590" 0.0590 77%
2-56 #49 0.0730 56%
2-56 1.80mm 0.0709 65%
2-56 #50 0.0700 69%
2-56 1.75mm 0.0689 74%
2-64 1.90mm 0.0748 55%
2-64 #49 0.0730 64%
2-64 1.85mm 0.0728 65%
2-64 1.80mm 0.0709 74%
2-64 #50 0.0700 79%
3-48 2.15mm 0.0846 53%
3-48 2.10mm 0.0827 60%
3-48 #45 0.0820 63%
3-48 #46 0.0810 66%
3-48 #47 0.0785 76%
3-48 5/64" 0.0781 77%
3-56 2.20mm 0.0866 53%
3-56 #44 0.0860 56%
3-56 2.15mm 0.0846 62%
3-56 2.10mm 0.0827 70%
3-56 #45 0.0820 73%
3-56 #46 0.0810 77%
3-56 2.05mm 0.0807 79%
4-36 #43 0.0890 64%
4-36 #44 0.0860 72%
4-40 2.40mm 0.0945 54%
4-40 #42 0.0935 57%
4-40 2.35mm 0.0925 60%
4-40 0.0905" 0.0905 66%
4-40 #43 0.0890 71%
4-40 2.20mm 0.0866 78%
4-48 0.0964" 0.0964 57%
4-48 #41 0.0960 59%
4-48 2.40mm 0.0945 64%
4-48 3/32" 0.0938 68%
4-48 #42 0.0935 68%
4-48 2.35mm 0.0925 72%
4-48 0.0905" 0.0905 79%
5-40 2.70mm 0.1063 57%
5-40 #37 0.1040 65%
5-40 2.60mm 0.1024 70%
5-40 #38 0.1015 72%
5-40 #39 0.0995 78%
5-44 0.1083" 0.1083 57%
5-44 #36 0.1065 62%
5-44 #37 0.1040 71%
5-44 2.60mm 0.1024 76%
5-44 #38 0.1015 79%
6-32 #33 0.1130 62%
6-32 #34 0.1110 67%
6-32 2.80mm 0.1102 68%
6-32 #35 0.1100 69%
6-32 7/64" 0.1094 70%
6-32 0.1083" 0.1083 73%
6-32 #36 0.1065 77%
6-40 #31 0.1200 55%
6-40 3.00mm 0.1181 61%
6-40 #32 0.1160 68%
6-40 2.90mm 0.1142 73%
6-40 #33 0.1130 77%
8-32 9/64" 0.1406 57%
8-32 #28 0.1405 58%
8-32 3.50mm 0.1378 65%
8-32 #29 0.1360 69%
8-32 3.40mm 0.1339 74%
8-36 #27 0.1440 55%
8-36 3.60mm 0.1417 62%
8-36 9/64" 0.1406 68%
8-36 #28 0.1405 65%
8-36 3.50mm 0.1378 73%
8-36 #29 0.1360 78%
10-24 #21 0.1590 57%
10-24 #22 0.1570 61%
10-24 0.1563" 0.1563 62%
10-24 #23 0.1540 66%
10-24 #24 0.1520 70%
10-24 3.80mm 0.1496 75%
10-24 #26 0.1470 79%
10-32 #19 0.1660 59%
10-32 4.10mm 0.1614 70%
10-32 #20 0.1610 71%
10-32 #21 0.1590 76%
12-24 #14 0.1820 63%
12-24 #15 0.1800 67%
12-24 #16 0.1770 72%
12-24 #17 0.1730 79%
12-28 3/16" 0.1875 61%
12-28 #13 0.1850 67%
12-28 #14 0.1820 73%
12-28 #15 0.1800 78%
1/4-20 #4 0.2090 63%
1/4-20 #5 0.2055 69%
1/4-20 #6 0.2040 71%
1/4-20 13/64" 0.2031 72%
1/4-20 #7 0.2010 75%
1/4-20 #8 0.1990 79%
1/4-27 #2 0.2210 61%
1/4-27 0.2187" 0.2187 65%
1/4-27 #3 0.2130 77%
1/4-28 #2 0.2210 63%
1/4-28 0.2187" 0.2187 67%
1/4-28 5.50mm 0.2165 72%
1/4-28 #3 0.2130 80%
1/4-32 5.70mm 0.2244 63%
1/4-32 #2 0.2210 71%
1/4-32 0.2187" 0.2187 77%
5/16-18 H 0.2660 64%
5/16-18 17/64" 0.2656 65%
5/16-18 G 0.2610 71%
5/16-18 F 0.2570 77%
5/16-24 J 0.2770 66%
5/16-24 7.00mm 0.2756 68%
5/16-24 I 0.2720 75%
5/16-27 9/32" 0.2812 65%
5/16-27 J 0.2770 74%
5/16-32 7.30mm 0.2874 62%
5/16-32 7.20mm 0.2835 71%
5/16-32 9/32" 0.2812 77%
3/8-16 P 0.3230 64%
3/8-16 8.10mm 0.3189 69%
3/8-16 O 0.3160 72%
3/8-16 5/16" 0.3125 77%
3/8-24 R 0.3390 67%
3/8-24 0.3345" 0.3345 74%
3/8-24 Q 0.3320 79%
3/8-27 0.3437" 0.3437 65%
3/8-27 R 0.3390 75%
7/16-14 0.3818" 0.3818 60%
7/16-14 V 0.3770 65%
7/16-14 3/8" 0.3750 67%
7/16-14 U 0.3680 75%
7/16-20 X 0.3970 62%
7/16-20 10.00mm 0.3937 67%
7/16-20 25/64" 0.3906 72%
7/16-20 W 0.3860 79%
7/16-24 Y 0.4040 62%
7/16-24 X 0.3970 74%
7/16-27 13/32" 0.4062 65%
7/16-27 Y 0.4040 70%
1/2-12 27/64" 0.4219 72%
1/2-13 7/16" 0.4375 62%
1/2-13 11.00mm 0.4331 68%
1/2-13 27/64" 0.4219 78%
1/2-20 29/64" 0.4531 72%
1/2-20 0.4492" 0.4492 78%
1/2-27 0.4687" 0.4687 65%
1/2-27 0.4640" 0.4640 75%
9/16-12 1/2" 0.5000 58%
9/16-12 12.50mm 0.4921 65%
9/16-12 31/64" 0.4844 72%
9/16-18 33/64" 0.5156 65%
9/16-18 13.00mm 0.5118 70%
9/16-27 17/32" 0.5312 65%
9/16-27 0.5265" 0.5265 75%
5/8-11 14.00mm 0.5512 62%
5/8-11 35/64" 0.5469 66%
5/8-11 17/32" 0.5312 79%
5/8-18 37/64" 0.5781 65%
5/8-18 14.50mm 0.5709 75%
5/8-27 0.5937" 0.5937 65%
5/8-27 0.5890" 0.5890 75%
3/4-10 17.00mm 0.6693 62%
3/4-10 0.6563" 0.6563 72%
3/4-10 16.50mm 0.6496 77%
3/4-16 45/64" 0.7031 58%
3/4-16 17.50mm 0.6890 75%
3/4-16 11/16" 0.6875 77%
3/4-27 0.7187" 0.7187 65%
3/4-27 0.7140" 0.7140 75%
7/8-9 0.7813" 0.7813 65%
7/8-9 49/64" 0.7656 76%
7/8-14 13/16" 0.8125 67%
7/8-14 20.50mm 0.8071 73%
7/8-18 53/64" 0.8281 65%
7/8-18 0.8210" 0.8210 75%
7/8-27 0.8437" 0.8437 65%
7/8-27 0.8390" 0.8390 75%
1-8 23.00mm 0.9055 58%
1-8 57/64" 0.8906 67%
1-8 7/8" 0.8750 77%
1-12 59/64" 0.9219 72%

marks a row corrected from Machinery's Handbook, 31st ed. See corrections to the source tables below.

Corrections to the source tables

We cross-checked every row in this table against the standard's own thread-engagement formula (percent thread equals major diameter minus drill diameter, divided by 1.299 times pitch). Five rows in Machinery's Handbook, 31st edition, disagree with it: two are drill-decimal typos, three are percentage miscalculations. Each one is below, with the reasoning.

Thread Tap Drill What's wrong Handbook says Correct value Why
3-56 #46 Drill decimal 0.0801" 0.0810" Digit transposition. Drill #46 is 0.0810", confirmed by the Handbook's own drill table (Table 1), by its own 3-48 row (which correctly lists #46 at 0.0810"), and by independent drill charts from Fastenal, the University of Florida, and Wagner Machine.
10-24 #24 % thread engagement 67% 70% The printed percentage disagrees with the value the Handbook's own formula produces. The thread's other six rows match the formula to within half a point; only this one disagrees.
5/16-27 9/32" % thread engagement 68% 65% Same pattern as the 10-24 row above: the printed percentage disagrees with the formula, while the thread's other row matches it closely.
5/16-32 7.30mm Drill decimal 0.2841" 0.2874" 7.30mm converts to 0.2874" exactly (7.30 divided by 25.4). The printed 0.2841" back-converts to 7.22mm, which is not a standard drill size. The corrected value reproduces the Handbook's own 62% figure for this row.
5/16-32 7.20mm % thread engagement 75% 71% Same thread, same pattern as the 7.30mm row: the printed percentage disagrees with the formula, while this thread's other two rows match it.
Source: Machinery's Handbook, 31st ed. (Industrial Press, 2020), Table 2, Tap Drill Sizes and Percentage of Thread (Unified Threads), per ANSI/ASME B1.1. Every row cross-checked against the standard's thread-engagement formula; 5 corrections are documented above. Last verified: 2026-07-18.

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What percent thread engagement means

When a tap cuts a hole, it never cuts a full, theoretical thread. Percent thread engagement (often shortened to "percent thread") measures how much of that full thread depth actually gets cut, based on how large the pilot hole is relative to the tap. A smaller pilot hole means more material for the tap to cut, so more thread depth and a higher percentage. A larger pilot hole leaves less material, so a shallower thread and a lower percentage.

More is not automatically better. Past roughly 60% thread engagement, additional holding strength from a tighter fit is marginal, while the tap has to remove more material to get there. That means higher cutting torque and a real risk of snapping the tap, especially by hand, in harder materials, or in a blind hole where chips cannot clear easily. 75% thread is the traditional target for general work because it holds essentially the same load as a full thread while staying well inside a safe tapping margin. Lower it (50 to 65%) in tough materials like stainless steel or titanium, or when hand tapping a deep blind hole; there is little reason to go higher than 75% for ordinary fasteners.

How to read this table

Find your thread size in the Thread column (for example 1/4-20 or 10-24). Every valid tap drill for that thread is listed underneath it, each with its own percent thread figure. Pick the drill whose percentage matches what the job calls for: a higher number for maximum strength in a soft material or a through-hole, a lower number when you need to protect the tap in a harder material or a blind hole. The Decimal (in) column is the drill's exact diameter in inches, useful for confirming a drill by micrometer or for cross-referencing against the drill bit size chart, which shares this same verified dataset.

Why one thread has several valid drills

Percent thread is a range, not a single correct number, because different jobs sit at different points on that range. A soft material, a through-hole, or a low-stress fastener can tolerate a smaller drill (a higher percentage) without extra tapping risk. A hard material, a deep blind hole, or a hand-tapping job usually calls for a larger drill (a lower percentage) to keep torque manageable. Rather than force one compromise drill on every job, this chart lists every drill Machinery's Handbook validates for each thread, so the choice stays with whoever is doing the work.

Machine screw sizes vs fractional sizes

This chart covers two families of Unified thread. Machine screw sizes (numbered 0 through 12, like 4-40 or 10-24) are the small fasteners common in electronics, small machinery, and general assembly work. Fractional sizes (named by diameter in inches, like 1/4-20 or 1/2-13, up through 1 inch) cover everything from small bolts up to structural fasteners. Both families follow the same tap-drill logic and the same percent-thread math; they are separated here into filter chips because most jobs only ever need one or the other. Neither family covers pipe threads: those follow a different, tapered standard, covered separately in the NPT thread chart.

The corrections, and why they matter

Five rows in this chart differ from what Machinery's Handbook, 31st edition actually prints, documented in full in the corrections section above. Two are drill-decimal typos: a printed value that does not match any real drill size or, in one case, back-converts to a non-standard metric drill. Three are percentage errors: a printed percent-thread figure that disagrees with the standard's own formula, while every other drill for that same thread matches the formula closely.

These are not guesses or independent recalculations layered on top of the source. Every value in this table, corrected or not, was checked against the Handbook's own published thread-engagement formula. A published reference is not automatically self-consistent just because it is published, and cross-checking a table against its own formula is exactly the kind of check a straight transcription never performs. That gap is why these five errors survived in print for decades of reprints: nobody re-ran the math. Getting a tap drill wrong is not academic, either. A hole drilled to the Handbook's printed 0.0801" for a 3-56 tap is drilled to a drill size that does not exist; the actual, correct drill for that hole is #46 at 0.0810", a full standard size larger. Get that wrong by hand or by an uncorrected reference and the tap either binds or breaks.

Frequently asked questions

What is the tap drill for 1/4-20?

It depends on the thread engagement you want. For 1/4-20, #7 (0.2010") gives 75% thread, the common target. #8 (0.1990") gives 79%, and #4 (0.2090") gives 63%. All three (plus #5 and #6) are valid choices depending on the material and how much strength you need.

What does percent thread mean?

Percent thread (or percent thread engagement) is how much of the full, theoretical thread depth the tap actually cuts. 100% would be a full V-thread, which is unnecessary and hard to tap. Most work targets 70-75%: enough thread engagement for full holding strength in most materials, without the extra tapping torque and tap breakage risk that comes with drilling a smaller hole for higher percentages.

Is 75% thread engagement enough?

Yes, for the vast majority of applications. Tests going back decades (and reflected in Machinery's Handbook itself) show that beyond about 60% thread engagement, the added holding strength from a tighter fit is marginal, while the tap sees sharply higher cutting torque and a much higher chance of breaking, especially in harder materials or blind holes. 75% is the traditional safe default; drop to 50-65% in tough materials like stainless or when hand-tapping a deep blind hole.

Why are there multiple drill sizes for one tap?

Because percent thread engagement is a range, not a fixed number, and different jobs call for different points on that range. A softer material or a through-hole can tolerate a smaller drill (higher percent thread) without the tap binding; a harder material or a deep blind hole often calls for a larger drill (lower percent thread) to keep tapping torque manageable. This chart lists every valid drill for each thread so you can pick the percentage that fits the job.

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