What is 67.5% of 1600?

Calculate 67.5% of 1600 with a complete step-by-step solution.

What is % of
Answer: 67.5% of 1600 = 1080
Step-by-Step Solution
Step 1 Understand the Problem

We need to find 67.5% of 1600.


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

So 67.5% means 67.5 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:

67.5 ÷ 100 = 0.675


This means 67.5% = 0.675

Step 3 Multiply to Find the Result

Now multiply the decimal by the number:


0.675 × 1600 = 1080


So 67.5% of 1600 = 1080

Step 4 Alternative Method

You can also think of it as a fraction:


67.5% of 1600 = (67.5/100) × 1600

= (67.5 × 1600) / 100

= 108000 / 100

= 1080