338.82 is what percent of 423.53 - 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 423.53 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 423.53, so we can write it down as 100%=423.53.
4. We know, that x% equals 338.82 of the output value, so we can write it down as x%=338.82.
5. Now we have two simple equations:
1) 100%=423.53
2) x%=338.82
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%=423.53/338.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 338.82 is what percent of 423.53

100%/x%=423.53/338.82
(100/x)*x=(423.53/338.82)*x       - we multiply both sides of the equation by x
100=1.2500147570982*x       - we divide both sides of the equation by (1.2500147570982) to get x
100/1.2500147570982=x
79.999055556867=x
x=79.999055556867

now we have:
338.82 is 79.999055556867% of 423.53