What is 47.75% of 6400?
Calculate 47.75% of 6400 with a complete step-by-step solution.
Answer:
47.75% of 6400 = 3056
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 47.75% of 6400.
The word "percent" means "per hundred" or "out of 100".
So 47.75% means 47.75 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:
47.75 ÷ 100 = 0.4775
This means 47.75% = 0.4775
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.4775 × 6400 = 3056
So 47.75% of 6400 = 3056
Step 4
Alternative Method
You can also think of it as a fraction:
47.75% of 6400 = (47.75/100) × 6400
= (47.75 × 6400) / 100
= 305600 / 100
= 3056