What Percent is 505 of 400?
Find what percentage 505 is of 400 with a complete step-by-step solution.
Answer:
505 is 126.25% of 400
Step-by-Step Solution
Step 1
Understand the Problem
We need to find what percentage 505 is of 400.
Part (the amount we have): 505
Whole (the total): 400
We're asking: "505 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:
505 ÷ 400 = 1.2625
Step 2: Multiply by 100 to convert to percent:
1.2625 × 100 = 126.25%
Step 4
Interpret the Result
505 is 126.25% of 400.
This means if you had 400 items and took 505 of them,
you would have 126.25% of the total.