# 40 is what percent of 50?

Jun 24, 2016

40/50xx100=80%

#### Explanation:

$x$ is the numerator = 40

$y$ is the denominator = 50

$z$ is the numerator as a percentage of the denominator = 80%

The algebra:

Divide $x$ by $y$ to get $\frac{z}{100}$

$\frac{x}{y} = \frac{z}{100}$

Multiply $\frac{z}{100}$ by 100 to get $z$

$\frac{z}{100} \times 100 = z$

How it works:

$\frac{40}{50} = \frac{80}{100} = 0.8$

$\frac{80}{100} \times 100 = 0.8 \times 100 = 80$

40 is 80% of 50.