What Percent is 496 of 6400?
Find what percentage 496 is of 6400 with a complete step-by-step solution.
Answer:
496 is 7.75% of 6400
Step-by-Step Solution
Step 1
Understand the Problem
We need to find what percentage 496 is of 6400.
Part (the amount we have): 496
Whole (the total): 6400
We're asking: "496 out of 6400 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:
496 ÷ 6400 = 0.0775
Step 2: Multiply by 100 to convert to percent:
0.0775 × 100 = 7.75%
Step 4
Interpret the Result
496 is 7.75% of 6400.
This means if you had 6400 items and took 496 of them,
you would have 7.75% of the total.