Percentage & Ratio Solver

A. Calculate X% of Y

of %?

B. Calculate What Percentage X is of Y

is of what %?

A. Simplify Ratio (a : b)

:

B. Solve Proportion (a : b = c : x)

Solve for the unknown variable $x$ in the proportion $a : b = c : x$.

: = : x

💡 Percentage & Ratio Quick Guide

  • Percentage: A fraction of 100. $X\% = \frac{X}{100}$, and the percentage of $Y$ is $Y \times \frac{X}{100}$.
  • Ratio Simplification: Reduce a ratio $a:b$ to its simplest integer form by dividing both terms by their greatest greatest common divisor.
  • Proportions: The equation $a:b = c:d \implies a \times d = b \times c$ (the product of the extremes equals the product of the means).