# What is the percent change of 19 to 9?

Jun 20, 2016

percentage decrease = 52.63%(2 decimal places)

#### Explanation:

The change in value here is a decrease as

as $19 \to 9 = 19 - 9 = 10 \text{ of a decrease}$

To express this as a percentage , write the decrease (10) as a fraction of the original quantity (19) and multiply by 100.

percentage decrease $= \frac{10}{19} \times \frac{100}{1} = \frac{10 \times 100}{19 \times 1}$

=1000/19=52.63%" (to 2 decimal places)"

Jun 20, 2016

= 52.6%

#### Explanation:

The percent change from 19 to 9 is the same as the percent change from 19 to 29 because they both involve the same portion of 19.

Find the amount of change, the difference between the two values - it does not matter if it is an increase or decrease.

$19 - 9 = 10 \text{ and " 29 -19 = 10}$

The percent change is calculated from:

"change"/"original amount" xx 100%

10/19 xx 100%

= 52.6%

From 19 to 9 is a 52.6% decrease, from 19 to 29 is a 52.6% increase because they both involve a change of 10 out of 19.