What Percent is 382 of 6400?
Find what percentage 382 is of 6400 with a complete step-by-step solution.
Answer:
382 is 5.96875% of 6400
Step-by-Step Solution
Step 1
Understand the Problem
We need to find what percentage 382 is of 6400.
Part (the amount we have): 382
Whole (the total): 6400
We're asking: "382 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:
382 ÷ 6400 = 0.059688
Step 2: Multiply by 100 to convert to percent:
0.059688 × 100 = 5.96875%
Step 4
Interpret the Result
382 is 5.96875% of 6400.
This means if you had 6400 items and took 382 of them,
you would have 5.96875% of the total.