46.82 is what percent of 535.04 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 535.04 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 535.04, so we can write it down as 100%=535.04.
4. We know, that x% equals 46.82 of the output value, so we can write it down as x%=46.82.
5. Now we have two simple equations:
1) 100%=535.04
2) x%=46.82
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=535.04/46.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.82 is what percent of 535.04

100%/x%=535.04/46.82
(100/x)*x=(535.04/46.82)*x       - we multiply both sides of the equation by x
100=11.427595044853*x       - we divide both sides of the equation by (11.427595044853) to get x
100/11.427595044853=x
8.7507476076555=x
x=8.7507476076555

now we have:
46.82 is 8.7507476076555% of 535.04