What is 20.48% of 102400?
Calculate 20.48% of 102400 with a complete step-by-step solution.
Answer:
20.48% of 102400 = 20971.52
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 20.48% of 102400.
The word "percent" means "per hundred" or "out of 100".
So 20.48% means 20.48 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:
20.48 ÷ 100 = 0.2048
This means 20.48% = 0.2048
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.2048 × 102400 = 20971.52
So 20.48% of 102400 = 20971.52
Step 4
Alternative Method
You can also think of it as a fraction:
20.48% of 102400 = (20.48/100) × 102400
= (20.48 × 102400) / 100
= 2097152 / 100
= 20971.52