What Is 7/20 as a Percentage? Answer: 35%
Updated · By the SolverCalc team
Quick answer
7/20 = 0.35 = 35% exactly.
Twentieths are easy to convert because 20 × 5 = 100. A score of 7 out of 20 on a quiz, for example, is exactly 35%. Here are two reliable ways to get there.
Method 1: multiply to get 100 on the bottom
- Find the multiplier: 100 ÷ 20 = 5.
- Multiply numerator and denominator by 5: (7 × 5) / (20 × 5) = 35/100.
- Read it as a percent: 35/100 = 35%.
Method 2: divide on the calculator
- Divide: 7 ÷ 20 = 0.35.
- Multiply by 100: 0.35 × 100 = 35.
- Write the answer: 35%.
Twentieths reference table
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/20 | 0.05 | 5% |
| 3/20 | 0.15 | 15% |
| 7/20 | 0.35 | 35% |
| 9/20 | 0.45 | 45% |
| 11/20 | 0.55 | 55% |
Every twentieth is worth 5%, so multiply the numerator by 5 for an instant answer.
Real-life example
Imagine a class of 20 students where 7 choose a science club. The share of the class in the science club is 7/20, or 35%. The other 13/20 (65%) chose something else, and 35% + 65% = 100%, which confirms the math.
Remember that a fraction greater than 20/20 gives a percentage above 100%. For example, 25/20 = 125%.
Finding 35% of a number
Because 7/20 and 35% are the same value, you can use either form to take a portion of a quantity. To find 35% of 80, multiply 80 by 0.35 to get 28. Using the fraction gives the same result: 80 ÷ 20 = 4, and 4 × 7 = 28. Picking the form that makes the arithmetic easier is a valuable mental-math habit.
Converting 35% back to 7/20
- Write 35% as 35/100.
- The greatest common factor of 35 and 100 is 5.
- Divide both by 5: 35/100 = 7/20.
Practice: 13/20 = 65% and 17/20 = 85%. Multiply each numerator by 5 and check your answers with the calculator.