What Percent is 420 of 1600?
Find what percentage 420 is of 1600 with a complete step-by-step solution.
Answer:
420 is 26.25% of 1600
Step-by-Step Solution
Step 1
Understand the Problem
We need to find what percentage 420 is of 1600.
Part (the amount we have): 420
Whole (the total): 1600
We're asking: "420 out of 1600 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:
420 ÷ 1600 = 0.2625
Step 2: Multiply by 100 to convert to percent:
0.2625 × 100 = 26.25%
Step 4
Interpret the Result
420 is 26.25% of 1600.
This means if you had 1600 items and took 420 of them,
you would have 26.25% of the total.