What is 6.34% of 6400?
Calculate 6.34% of 6400 with a complete step-by-step solution.
Answer:
6.34% of 6400 = 405.76
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 6.34% of 6400.
The word "percent" means "per hundred" or "out of 100".
So 6.34% means 6.34 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:
6.34 ÷ 100 = 0.0634
This means 6.34% = 0.0634
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.0634 × 6400 = 405.76
So 6.34% of 6400 = 405.76
Step 4
Alternative Method
You can also think of it as a fraction:
6.34% of 6400 = (6.34/100) × 6400
= (6.34 × 6400) / 100
= 40576 / 100
= 405.76