What is 40.75% of 1600?
Calculate 40.75% of 1600 with a complete step-by-step solution.
Answer:
40.75% of 1600 = 652
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 40.75% of 1600.
The word "percent" means "per hundred" or "out of 100".
So 40.75% means 40.75 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:
40.75 ÷ 100 = 0.4075
This means 40.75% = 0.4075
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.4075 × 1600 = 652
So 40.75% of 1600 = 652
Step 4
Alternative Method
You can also think of it as a fraction:
40.75% of 1600 = (40.75/100) × 1600
= (40.75 × 1600) / 100
= 65200 / 100
= 652