What is 7.77% of 12800?
Calculate 7.77% of 12800 with a complete step-by-step solution.
Answer:
7.77% of 12800 = 994.56
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 7.77% of 12800.
The word "percent" means "per hundred" or "out of 100".
So 7.77% means 7.77 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:
7.77 ÷ 100 = 0.0777
This means 7.77% = 0.0777
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.0777 × 12800 = 994.56
So 7.77% of 12800 = 994.56
Step 4
Alternative Method
You can also think of it as a fraction:
7.77% of 12800 = (7.77/100) × 12800
= (7.77 × 12800) / 100
= 99456 / 100
= 994.56