What is 31.75% of 1600?
Calculate 31.75% of 1600 with a complete step-by-step solution.
Answer:
31.75% of 1600 = 508
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 31.75% of 1600.
The word "percent" means "per hundred" or "out of 100".
So 31.75% means 31.75 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:
31.75 ÷ 100 = 0.3175
This means 31.75% = 0.3175
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.3175 × 1600 = 508
So 31.75% of 1600 = 508
Step 4
Alternative Method
You can also think of it as a fraction:
31.75% of 1600 = (31.75/100) × 1600
= (31.75 × 1600) / 100
= 50800 / 100
= 508