125.9 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 125.9 of the output value, so we can write it down as x%=125.9.
5. Now we have two simple equations:
1) 100%=135
2) x%=125.9
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%=135/125.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 125.9 is what percent of 135

100%/x%=135/125.9
(100/x)*x=(135/125.9)*x       - we multiply both sides of the equation by x
100=1.0722795869738*x       - we divide both sides of the equation by (1.0722795869738) to get x
100/1.0722795869738=x
93.259259259259=x
x=93.259259259259

now we have:
125.9 is 93.259259259259% of 135