What is 10.78% of 102400?
Calculate 10.78% of 102400 with a complete step-by-step solution.
Answer:
10.78% of 102400 = 11038.72
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 10.78% of 102400.
The word "percent" means "per hundred" or "out of 100".
So 10.78% means 10.78 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:
10.78 ÷ 100 = 0.1078
This means 10.78% = 0.1078
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.1078 × 102400 = 11038.72
So 10.78% of 102400 = 11038.72
Step 4
Alternative Method
You can also think of it as a fraction:
10.78% of 102400 = (10.78/100) × 102400
= (10.78 × 102400) / 100
= 1103872 / 100
= 11038.72