What Percent is 6400 of 51200?
Find what percentage 6400 is of 51200 with a complete step-by-step solution.
Answer:
6400 is 12.5% of 51200
Step-by-Step Solution
Step 1
Understand the Problem
We need to find what percentage 6400 is of 51200.
Part (the amount we have): 6400
Whole (the total): 51200
We're asking: "6400 out of 51200 is how many percent?"
Step 2
Set Up the Formula
To find what percent one number is of another, we use:
Percentage = (Part ÷ Whole) × 100
This gives us the part as a fraction of the whole, then converts to a percentage.
Step 3
Calculate the Percentage
Step 1: Divide the part by the whole:
6400 ÷ 51200 = 0.125
Step 2: Multiply by 100 to convert to percent:
0.125 × 100 = 12.5%
Step 4
Interpret the Result
6400 is 12.5% of 51200.
This means if you had 51200 items and took 6400 of them,
you would have 12.5% of the total.