What is 47.5% of 1600?
Calculate 47.5% of 1600 with a complete step-by-step solution.
Answer:
47.5% of 1600 = 760
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 47.5% of 1600.
The word "percent" means "per hundred" or "out of 100".
So 47.5% means 47.5 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:
47.5 ÷ 100 = 0.475
This means 47.5% = 0.475
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.475 × 1600 = 760
So 47.5% of 1600 = 760
Step 4
Alternative Method
You can also think of it as a fraction:
47.5% of 1600 = (47.5/100) × 1600
= (47.5 × 1600) / 100
= 76000 / 100
= 760