What is 72.5% of 1600?
Calculate 72.5% of 1600 with a complete step-by-step solution.
Answer:
72.5% of 1600 = 1160
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 72.5% of 1600.
The word "percent" means "per hundred" or "out of 100".
So 72.5% means 72.5 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:
72.5 ÷ 100 = 0.725
This means 72.5% = 0.725
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.725 × 1600 = 1160
So 72.5% of 1600 = 1160
Step 4
Alternative Method
You can also think of it as a fraction:
72.5% of 1600 = (72.5/100) × 1600
= (72.5 × 1600) / 100
= 116000 / 100
= 1160