The problem asks to find the percentage increase when a value increases from 130 to 156.

1. Problem Description

The problem asks to find the percentage increase when a value increases from 130 to

1

5

6.

2. Solution Steps

To find the percentage increase, we first need to find the amount of the increase. This is the difference between the new value and the original value.

Increase = New value - Original value

Increase = $156 - 130 = 26$

Next, we divide the increase by the original value to find the fraction of the increase.

Fractional increase = $\frac{Increase}{Original value}$

Fractional increase = $\frac{26}{130}$

Simplify the fraction:

$\frac{26}{130} = \frac{13 \cdot 2}{13 \cdot 10} = \frac{2}{10} = \frac{1}{5}$

Finally, we multiply the fractional increase by 100 to express the increase as a percentage.

Percentage increase = Fractional increase $\times$ 100

Percentage increase = $\frac{1}{5} \times 100 = 20$

Alternatively, we can use the formula:

Percentage Increase = $\frac{New\ Value - Original\ Value}{Original\ Value} \times 100$

Percentage Increase = $\frac{156 - 130}{130} \times 100$

Percentage Increase = $\frac{26}{130} \times 100$

Percentage Increase = $\frac{1}{5} \times 100 = 20$

3. Final Answer

The percentage increase is 20%.