What is 2.56% of 102400?
Calculate 2.56% of 102400 with a complete step-by-step solution.
Answer:
2.56% of 102400 = 2621.44
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 2.56% of 102400.
The word "percent" means "per hundred" or "out of 100".
So 2.56% means 2.56 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:
2.56 ÷ 100 = 0.0256
This means 2.56% = 0.0256
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.0256 × 102400 = 2621.44
So 2.56% of 102400 = 2621.44
Step 4
Alternative Method
You can also think of it as a fraction:
2.56% of 102400 = (2.56/100) × 102400
= (2.56 × 102400) / 100
= 262144 / 100
= 2621.44