What is 5.3% of 102400?

We need to find 5.3% of 102400.

The word "percent" means "per hundred" or "out of 100".

So 5.3% means 5.3 out of every 100.

To calculate with percentages, we first convert to a decimal.

Divide the percentage by 100:

5.3 ÷ 100 = 0.053

This means 5.3% = 0.053

Now multiply the decimal by the number:

0.053 × 102400 = 5427.2

So 5.3% of 102400 = 5427.2

You can also think of it as a fraction:

5.3% of 102400 = (5.3/100) × 102400

= (5.3 × 102400) / 100

= 542720 / 100

= 5427.2