What Percent is 426 of 1600?
Find what percentage 426 is of 1600 with a complete step-by-step solution.
Answer:
426 is 26.625% of 1600
Step-by-Step Solution
Step 1
Understand the Problem
We need to find what percentage 426 is of 1600.
Part (the amount we have): 426
Whole (the total): 1600
We're asking: "426 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:
426 ÷ 1600 = 0.26625
Step 2: Multiply by 100 to convert to percent:
0.26625 × 100 = 26.625%
Step 4
Interpret the Result
426 is 26.625% of 1600.
This means if you had 1600 items and took 426 of them,
you would have 26.625% of the total.