67.22 is what percent of 537.22 - 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 537.22 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 537.22, so we can write it down as 100%=537.22.
4. We know, that x% equals 67.22 of the output value, so we can write it down as x%=67.22.
5. Now we have two simple equations:
1) 100%=537.22
2) x%=67.22
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%=537.22/67.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.22 is what percent of 537.22

100%/x%=537.22/67.22
(100/x)*x=(537.22/67.22)*x       - we multiply both sides of the equation by x
100=7.9919666765844*x       - we divide both sides of the equation by (7.9919666765844) to get x
100/7.9919666765844=x
12.512564684859=x
x=12.512564684859

now we have:
67.22 is 12.512564684859% of 537.22