215.25 is what percent of 195.6 - 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 195.6 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 195.6, so we can write it down as 100%=195.6.
4. We know, that x% equals 215.25 of the output value, so we can write it down as x%=215.25.
5. Now we have two simple equations:
1) 100%=195.6
2) x%=215.25
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%=195.6/215.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 215.25 is what percent of 195.6

100%/x%=195.6/215.25
(100/x)*x=(195.6/215.25)*x       - we multiply both sides of the equation by x
100=0.90871080139373*x       - we divide both sides of the equation by (0.90871080139373) to get x
100/0.90871080139373=x
110.04601226994=x
x=110.04601226994

now we have:
215.25 is 110.04601226994% of 195.6