What is 20.75% of 400?
Calculate 20.75% of 400 with a complete step-by-step solution.
Answer:
20.75% of 400 = 83
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 20.75% of 400.
The word "percent" means "per hundred" or "out of 100".
So 20.75% means 20.75 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:
20.75 ÷ 100 = 0.2075
This means 20.75% = 0.2075
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.2075 × 400 = 83
So 20.75% of 400 = 83
Step 4
Alternative Method
You can also think of it as a fraction:
20.75% of 400 = (20.75/100) × 400
= (20.75 × 400) / 100
= 8300 / 100
= 83