195.5 is what percent of 215.25 - 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 215.25 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 215.25, so we can write it down as 100%=215.25.
4. We know, that x% equals 195.5 of the output value, so we can write it down as x%=195.5.
5. Now we have two simple equations:
1) 100%=215.25
2) x%=195.5
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%=215.25/195.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 195.5 is what percent of 215.25

100%/x%=215.25/195.5
(100/x)*x=(215.25/195.5)*x       - we multiply both sides of the equation by x
100=1.1010230179028*x       - we divide both sides of the equation by (1.1010230179028) to get x
100/1.1010230179028=x
90.82462253194=x
x=90.82462253194

now we have:
195.5 is 90.82462253194% of 215.25