95.52 is what percent of 136.46 - 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 136.46 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 136.46, so we can write it down as 100%=136.46.
4. We know, that x% equals 95.52 of the output value, so we can write it down as x%=95.52.
5. Now we have two simple equations:
1) 100%=136.46
2) x%=95.52
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%=136.46/95.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 95.52 is what percent of 136.46

100%/x%=136.46/95.52
(100/x)*x=(136.46/95.52)*x       - we multiply both sides of the equation by x
100=1.4286013400335*x       - we divide both sides of the equation by (1.4286013400335) to get x
100/1.4286013400335=x
69.998534369046=x
x=69.998534369046

now we have:
95.52 is 69.998534369046% of 136.46