What is 26.25% of 1600?

Calculate 26.25% of 1600 with a complete step-by-step solution.

What is % of
Answer: 26.25% of 1600 = 420
Step-by-Step Solution
Step 1 Understand the Problem

We need to find 26.25% of 1600.


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

So 26.25% means 26.25 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:

26.25 ÷ 100 = 0.2625


This means 26.25% = 0.2625

Step 3 Multiply to Find the Result

Now multiply the decimal by the number:


0.2625 × 1600 = 420


So 26.25% of 1600 = 420

Step 4 Alternative Method

You can also think of it as a fraction:


26.25% of 1600 = (26.25/100) × 1600

= (26.25 × 1600) / 100

= 42000 / 100

= 420