What Percent is 46 of 400?
Find what percentage 46 is of 400 with a complete step-by-step solution.
Answer:
46 is 11.5% of 400
Step-by-Step Solution
Step 1
Understand the Problem
We need to find what percentage 46 is of 400.
Part (the amount we have): 46
Whole (the total): 400
We're asking: "46 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:
46 ÷ 400 = 0.115
Step 2: Multiply by 100 to convert to percent:
0.115 × 100 = 11.5%
Step 4
Interpret the Result
46 is 11.5% of 400.
This means if you had 400 items and took 46 of them,
you would have 11.5% of the total.