What Percent is 460 of 800?
Find what percentage 460 is of 800 with a complete step-by-step solution.
Answer:
460 is 57.5% of 800
Step-by-Step Solution
Step 1
Understand the Problem
We need to find what percentage 460 is of 800.
Part (the amount we have): 460
Whole (the total): 800
We're asking: "460 out of 800 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:
460 ÷ 800 = 0.575
Step 2: Multiply by 100 to convert to percent:
0.575 × 100 = 57.5%
Step 4
Interpret the Result
460 is 57.5% of 800.
This means if you had 800 items and took 460 of them,
you would have 57.5% of the total.