Percentage Calculator

Percent of a value, what percent one value is of another, and percentage change — computed as exact fractions, with every step shown.
Computed
The exact result and the full working are shown below.
Resultexact

36

numeric ≈ 36

15% of 240 is 36.

Step-by-step solution

  1. 1

    The question

    "What is 15% of 240?" A percent of a value is the value multiplied by the percent over 100.

    p100⋅v\frac{p}{100} \cdot v
  2. 2

    Substitute the values

    Here p = 15 and v = 240.

    15100⋅240\frac{15}{100} \cdot 240
  3. 3

    Compute the exact value

    Multiply the fractions and reduce to lowest terms.

    15100⋅240=36\frac{15}{100} \cdot 240 = 36
  4. 4

    Decimal form

    As a decimal, 36 ≈ 36.

    36≈3636 \approx 36
  5. 5

    Result

    15% of 240 is 36.

    15100⋅240=36\frac{15}{100} \cdot 240 = 36

About percentages

A percentage is a fraction with denominator 100: 15% means 15/100 = 3/20. "p% of x" is therefore the exact product (p/100)·x.

The three modes answer the three everyday questions: what is p% of x, x is what percent of y (x/y × 100), and how much did a value change ((new − old)/old × 100).

Everything stays an exact fraction: 33.3% of 3 is precisely 999/1000 here — no floating-point rounding anywhere in the calculation.