97.67 is what percent of 527.5 - 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 527.5 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 527.5, so we can write it down as 100%=527.5.
4. We know, that x% equals 97.67 of the output value, so we can write it down as x%=97.67.
5. Now we have two simple equations:
1) 100%=527.5
2) x%=97.67
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%=527.5/97.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.67 is what percent of 527.5

100%/x%=527.5/97.67
(100/x)*x=(527.5/97.67)*x       - we multiply both sides of the equation by x
100=5.4008395617897*x       - we divide both sides of the equation by (5.4008395617897) to get x
100/5.4008395617897=x
18.515639810427=x
x=18.515639810427

now we have:
97.67 is 18.515639810427% of 527.5