97.73 is what percent of 97.5 - 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 97.5 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 97.5, so we can write it down as 100%=97.5.
4. We know, that x% equals 97.73 of the output value, so we can write it down as x%=97.73.
5. Now we have two simple equations:
1) 100%=97.5
2) x%=97.73
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%=97.5/97.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.73 is what percent of 97.5

100%/x%=97.5/97.73
(100/x)*x=(97.5/97.73)*x       - we multiply both sides of the equation by x
100=0.99764657730482*x       - we divide both sides of the equation by (0.99764657730482) to get x
100/0.99764657730482=x
100.2358974359=x
x=100.2358974359

now we have:
97.73 is 100.2358974359% of 97.5