95.3 is what percent of 135 - 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 135 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 135, so we can write it down as 100%=135.
4. We know, that x% equals 95.3 of the output value, so we can write it down as x%=95.3.
5. Now we have two simple equations:
1) 100%=135
2) x%=95.3
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%=135/95.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 95.3 is what percent of 135

100%/x%=135/95.3
(100/x)*x=(135/95.3)*x       - we multiply both sides of the equation by x
100=1.4165792235047*x       - we divide both sides of the equation by (1.4165792235047) to get x
100/1.4165792235047=x
70.592592592593=x
x=70.592592592593

now we have:
95.3 is 70.592592592593% of 135