What is 7.5% of 1600?

Calculate 7.5% of 1600 with a complete step-by-step solution.

What is % of
Answer: 7.5% of 1600 = 120
Step-by-Step Solution
Step 1 Understand the Problem

We need to find 7.5% of 1600.


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

So 7.5% means 7.5 out of every 100.

Step 2 Convert Percentage to Decimal

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


Divide the percentage by 100:

7.5 ÷ 100 = 0.075


This means 7.5% = 0.075

Step 3 Multiply to Find the Result

Now multiply the decimal by the number:


0.075 × 1600 = 120


So 7.5% of 1600 = 120

Step 4 Alternative Method

You can also think of it as a fraction:


7.5% of 1600 = (7.5/100) × 1600

= (7.5 × 1600) / 100

= 12000 / 100

= 120