What Percent is 105 of 200?
Find what percentage 105 is of 200 with a complete step-by-step solution.
Answer:
105 is 52.5% of 200
Step-by-Step Solution
Step 1
Understand the Problem
We need to find what percentage 105 is of 200.
Part (the amount we have): 105
Whole (the total): 200
We're asking: "105 out of 200 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:
105 ÷ 200 = 0.525
Step 2: Multiply by 100 to convert to percent:
0.525 × 100 = 52.5%
Step 4
Interpret the Result
105 is 52.5% of 200.
This means if you had 200 items and took 105 of them,
you would have 52.5% of the total.