What is 10.45% of 6400?
Calculate 10.45% of 6400 with a complete step-by-step solution.
Answer:
10.45% of 6400 = 668.8
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 10.45% of 6400.
The word "percent" means "per hundred" or "out of 100".
So 10.45% means 10.45 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:
10.45 ÷ 100 = 0.1045
This means 10.45% = 0.1045
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.1045 × 6400 = 668.8
So 10.45% of 6400 = 668.8
Step 4
Alternative Method
You can also think of it as a fraction:
10.45% of 6400 = (10.45/100) × 6400
= (10.45 × 6400) / 100
= 66880 / 100
= 668.8