What is 107.5% of 12800?
Calculate 107.5% of 12800 with a complete step-by-step solution.
Answer:
107.5% of 12800 = 13760
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 107.5% of 12800.
The word "percent" means "per hundred" or "out of 100".
So 107.5% means 107.5 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:
107.5 ÷ 100 = 1.075
This means 107.5% = 1.075
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
1.075 × 12800 = 13760
So 107.5% of 12800 = 13760
Step 4
Alternative Method
You can also think of it as a fraction:
107.5% of 12800 = (107.5/100) × 12800
= (107.5 × 12800) / 100
= 1376000 / 100
= 13760