What Percent is 1600 of 51200?
Find what percentage 1600 is of 51200 with a complete step-by-step solution.
Answer:
1600 is 3.125% of 51200
Step-by-Step Solution
Step 1
Understand the Problem
We need to find what percentage 1600 is of 51200.
Part (the amount we have): 1600
Whole (the total): 51200
We're asking: "1600 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:
1600 ÷ 51200 = 0.03125
Step 2: Multiply by 100 to convert to percent:
0.03125 × 100 = 3.125%
Step 4
Interpret the Result
1600 is 3.125% of 51200.
This means if you had 51200 items and took 1600 of them,
you would have 3.125% of the total.