362.61 is what percent of 522.11 - 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 522.11 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 522.11, so we can write it down as 100%=522.11.
4. We know, that x% equals 362.61 of the output value, so we can write it down as x%=362.61.
5. Now we have two simple equations:
1) 100%=522.11
2) x%=362.61
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%=522.11/362.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 362.61 is what percent of 522.11

100%/x%=522.11/362.61
(100/x)*x=(522.11/362.61)*x       - we multiply both sides of the equation by x
100=1.4398665232619*x       - we divide both sides of the equation by (1.4398665232619) to get x
100/1.4398665232619=x
69.450881998046=x
x=69.450881998046

now we have:
362.61 is 69.450881998046% of 522.11