# How do you calculate the percent change of 51,000 to 63,000?

Jun 8, 2016

Percent change is 23.53%

#### Explanation:

When a change is from ${x}_{1}$ to ${x}_{2}$ (this means ${x}_{1}$ is observation of an earlier time / period, than of ${x}_{2}$) and the quantum of change is measured as ${x}_{2} - {x}_{1}$.

For percentage change we have to calculate $\frac{{x}_{2} - {x}_{1}}{x} _ 1 \times 100$

which means quantum of change divided by observation of an earlier time / period and then multiplied by $100$.

Hence, percent change of $51 , 000$ to $63 , 000$ is given by $\frac{63000 - 51000}{51000} \times 100 = \frac{12000}{51000} \times 100$

= 12/51xx100=(4cancel12)/(17cancel51)xx100=400/17=23.53%