97.5 is what percent of 154.35 - 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 154.35 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 154.35, so we can write it down as 100%=154.35.
4. We know, that x% equals 97.5 of the output value, so we can write it down as x%=97.5.
5. Now we have two simple equations:
1) 100%=154.35
2) x%=97.5
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%=154.35/97.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.5 is what percent of 154.35

100%/x%=154.35/97.5
(100/x)*x=(154.35/97.5)*x       - we multiply both sides of the equation by x
100=1.5830769230769*x       - we divide both sides of the equation by (1.5830769230769) to get x
100/1.5830769230769=x
63.168124392614=x
x=63.168124392614

now we have:
97.5 is 63.168124392614% of 154.35