What is 20% of 75?

20% of 75 is 15. Seventy-five divides evenly by five: 75 ÷ 5 = 15. Decimals match: 0.2 × 75 = 15. Because 75 = 3 × 25, you can triple 20% of 25 (5): 5 × 3 = 15. On the same seventy-five, 15% of 75 is 11.25, 25% of 75 is 18.75, and 30% of 75 is 22.5—so twenty percent lands on the whole-number fifteen between those fractional bands.

Read 20% off £75 as “take off £15,” leaving £60 before extras. If the brief asks for twenty percent of seventy-five, the figure is 15, not sixty. The discounted total only appears when the wording moves to “off” or “after the discount.”

Seventy-five is three quarters of a hundred, so compare with 20% of 100 (20): three quarters of twenty is fifteen—another route that avoids long multiplication. 20% of 150 is 30, and seventy-five is half of one fifty, so half the thirty-pound slice is 15 again.

Neighbouring round bases: 20% of 70 is 14, and 20% of 80 is 16, so seventy-five’s fifth sits one pound above the seventy line and one below eighty. Scale by ten: 20% of 750 is 150—same structure, shifted decimal.

Quick Answer

20% of 75 = 15

If £75 is reduced by 20%, the reduction is £15 and you pay £60 (before other charges).

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Result: 15

Formula used: (percentage ÷ 100) × number

How to Work Out 20% of 75

Step 1: Convert 20% → 0.2.

Step 2: Multiply: 0.2 × 75 = 15.

Full formula: (20 ÷ 100) × 75 = 15

Fifth shortcut: 75 ÷ 5 = 15. Three twenty-fives: 3 × (20% of 25)3 × 5 = 15.

Why Fifteen Lines Up with Three Twenty-Fives

Twenty-five factorises as ; tripling gives 75 = 3 × 5². A twenty-percent take removes one five from the “per hundred” story and leaves 3 × 5 = 15. That is the same product you get from “three quarters of twenty” when you anchor on a century line.

10% of 75 is 7.5; doubling checks the answer without linking to a page—useful when you are offline and only remember tens first.

Mental Maths Shortcuts for 20% of 75

Fastest: 75 ÷ 5 = 15.

From 25% of 75 = 18.75, subtract 5% of 75 = 3.75 to return to fifteen—another decomposition if quarters feel natural.

Real-World Examples

Example 1: Twenty percent off a £75 hotel night
The saving is £15 and the promotional rate is £60 before resort fees or tax.

Example 2: Deposit plus staging fee
If a vendor quotes 20% of £75 upfront for materials, that line is £15; the remainder of the seventy-five depends on how the contract splits the rest.

Example 3: Team buffer
A seventy-five-unit sprint with a 20% contingency reserves 15 units of slack, leaving 60 for committed scope if the rule is applied to the gross plan.

Example 4: Tenfold subtotal
20% of 750 is 150. If your model shows 15 or 1500 on that row, the decimal for “percent” likely slipped.

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FAQ

What is 20% of 75?

20% of 75 is 15.

How do you calculate 20% of 75?

Multiply 75 by 0.2, divide 75 by 5, or triple 20% of 25 (5 × 3 = 15).

What is 20% off 75?

20% off 75 is a reduction of 15, leaving 60.