What is 8.44% of 6400?
Calculate 8.44% of 6400 with a complete step-by-step solution.
Answer:
8.44% of 6400 = 540.16
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 8.44% of 6400.
The word "percent" means "per hundred" or "out of 100".
So 8.44% means 8.44 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:
8.44 ÷ 100 = 0.0844
This means 8.44% = 0.0844
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.0844 × 6400 = 540.16
So 8.44% of 6400 = 540.16
Step 4
Alternative Method
You can also think of it as a fraction:
8.44% of 6400 = (8.44/100) × 6400
= (8.44 × 6400) / 100
= 54016 / 100
= 540.16