What is 4.06% of 6400?
Calculate 4.06% of 6400 with a complete step-by-step solution.
Answer:
4.06% of 6400 = 259.84
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 4.06% of 6400.
The word "percent" means "per hundred" or "out of 100".
So 4.06% means 4.06 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:
4.06 ÷ 100 = 0.0406
This means 4.06% = 0.0406
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.0406 × 6400 = 259.84
So 4.06% of 6400 = 259.84
Step 4
Alternative Method
You can also think of it as a fraction:
4.06% of 6400 = (4.06/100) × 6400
= (4.06 × 6400) / 100
= 25984 / 100
= 259.84