What is 85.5% of 6400?
Calculate 85.5% of 6400 with a complete step-by-step solution.
Answer:
85.5% of 6400 = 5472
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 85.5% of 6400.
The word "percent" means "per hundred" or "out of 100".
So 85.5% means 85.5 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:
85.5 ÷ 100 = 0.855
This means 85.5% = 0.855
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.855 × 6400 = 5472
So 85.5% of 6400 = 5472
Step 4
Alternative Method
You can also think of it as a fraction:
85.5% of 6400 = (85.5/100) × 6400
= (85.5 × 6400) / 100
= 547200 / 100
= 5472