What is 55.75% of 12800?
Calculate 55.75% of 12800 with a complete step-by-step solution.
Answer:
55.75% of 12800 = 7136
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 55.75% of 12800.
The word "percent" means "per hundred" or "out of 100".
So 55.75% means 55.75 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:
55.75 ÷ 100 = 0.5575
This means 55.75% = 0.5575
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.5575 × 12800 = 7136
So 55.75% of 12800 = 7136
Step 4
Alternative Method
You can also think of it as a fraction:
55.75% of 12800 = (55.75/100) × 12800
= (55.75 × 12800) / 100
= 713600 / 100
= 7136