What Percent is 460 of 400?
Find what percentage 460 is of 400 with a complete step-by-step solution.
Answer:
460 is 115% of 400
Step-by-Step Solution
Step 1
Understand the Problem
We need to find what percentage 460 is of 400.
Part (the amount we have): 460
Whole (the total): 400
We're asking: "460 out of 400 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 ÷ 400 = 1.15
Step 2: Multiply by 100 to convert to percent:
1.15 × 100 = 115%
Step 4
Interpret the Result
460 is 115% of 400.
This means if you had 400 items and took 460 of them,
you would have 115% of the total.