What is 7.25% of 6400?
Calculate 7.25% of 6400 with a complete step-by-step solution.
Answer:
7.25% of 6400 = 464
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 7.25% of 6400.
The word "percent" means "per hundred" or "out of 100".
So 7.25% means 7.25 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:
7.25 ÷ 100 = 0.0725
This means 7.25% = 0.0725
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.0725 × 6400 = 464
So 7.25% of 6400 = 464
Step 4
Alternative Method
You can also think of it as a fraction:
7.25% of 6400 = (7.25/100) × 6400
= (7.25 × 6400) / 100
= 46400 / 100
= 464