What is 27.5% of 6400?
Calculate 27.5% of 6400 with a complete step-by-step solution.
Answer:
27.5% of 6400 = 1760
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 27.5% of 6400.
The word "percent" means "per hundred" or "out of 100".
So 27.5% means 27.5 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:
27.5 ÷ 100 = 0.275
This means 27.5% = 0.275
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.275 × 6400 = 1760
So 27.5% of 6400 = 1760
Step 4
Alternative Method
You can also think of it as a fraction:
27.5% of 6400 = (27.5/100) × 6400
= (27.5 × 6400) / 100
= 176000 / 100
= 1760