67.58 is what percent of 90.33 - 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 90.33 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 90.33, so we can write it down as 100%=90.33.
4. We know, that x% equals 67.58 of the output value, so we can write it down as x%=67.58.
5. Now we have two simple equations:
1) 100%=90.33
2) x%=67.58
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%=90.33/67.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.58 is what percent of 90.33

100%/x%=90.33/67.58
(100/x)*x=(90.33/67.58)*x       - we multiply both sides of the equation by x
100=1.3366380585972*x       - we divide both sides of the equation by (1.3366380585972) to get x
100/1.3366380585972=x
74.814568803277=x
x=74.814568803277

now we have:
67.58 is 74.814568803277% of 90.33