What is 20% of 75?
The answer is 15.
Result Explanation
20% of 75 = 15. Because 20% is one fifth, you can also do 75 ÷ 5 = 15. If you mean 20% off 75, then 15 is the discount and the new total is 60 (use the discount calculator for before/after).
If you’re comparing two values (not taking a slice of one number), use the percentage change calculator. For reverse problems like “75 is 20% of what?”, use the reverse percentage calculator.
Why Fifteen Lines Up with Three Twenty-Fives
Twenty-five factorises as 5²; 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.
- 10% of 75 = 7.5; double → 20% = 15.
- Three times 20% of 25 = 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.
Common Mistakes
- Quoting £60 when asked only for twenty percent of £75—sixty is after the discount.
- Multiplying 20 × 75 without dividing by a hundred → 1500.
- Confusing 20% of 75 with “75 is 20% of what?” (75 ÷ 0.2 = 375).
- Using 75 ÷ 20 as if it were the fifth—it is not.
- Treating 0.2% of seventy-five as twenty percent.
Related Links
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.