What is 30.75% of 400?
Calculate 30.75% of 400 with a complete step-by-step solution.
Answer:
30.75% of 400 = 123
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 30.75% of 400.
The word "percent" means "per hundred" or "out of 100".
So 30.75% means 30.75 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:
30.75 ÷ 100 = 0.3075
This means 30.75% = 0.3075
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.3075 × 400 = 123
So 30.75% of 400 = 123
Step 4
Alternative Method
You can also think of it as a fraction:
30.75% of 400 = (30.75/100) × 400
= (30.75 × 400) / 100
= 12300 / 100
= 123