136.42 is what percent of 1273.26 - 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 1273.26 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 1273.26, so we can write it down as 100%=1273.26.
4. We know, that x% equals 136.42 of the output value, so we can write it down as x%=136.42.
5. Now we have two simple equations:
1) 100%=1273.26
2) x%=136.42
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%=1273.26/136.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 136.42 is what percent of 1273.26

100%/x%=1273.26/136.42
(100/x)*x=(1273.26/136.42)*x       - we multiply both sides of the equation by x
100=9.3333822020232*x       - we divide both sides of the equation by (9.3333822020232) to get x
100/9.3333822020232=x
10.714229615318=x
x=10.714229615318

now we have:
136.42 is 10.714229615318% of 1273.26