What is 7.75% of 400?
Calculate 7.75% of 400 with a complete step-by-step solution.
Answer:
7.75% of 400 = 31
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 7.75% of 400.
The word "percent" means "per hundred" or "out of 100".
So 7.75% means 7.75 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:
7.75 ÷ 100 = 0.0775
This means 7.75% = 0.0775
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.0775 × 400 = 31
So 7.75% of 400 = 31
Step 4
Alternative Method
You can also think of it as a fraction:
7.75% of 400 = (7.75/100) × 400
= (7.75 × 400) / 100
= 3100 / 100
= 31