136.09 is what percent of 1270.13 - 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 1270.13 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 1270.13, so we can write it down as 100%=1270.13.
4. We know, that x% equals 136.09 of the output value, so we can write it down as x%=136.09.
5. Now we have two simple equations:
1) 100%=1270.13
2) x%=136.09
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%=1270.13/136.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 136.09 is what percent of 1270.13

100%/x%=1270.13/136.09
(100/x)*x=(1270.13/136.09)*x       - we multiply both sides of the equation by x
100=9.3330149165993*x       - we divide both sides of the equation by (9.3330149165993) to get x
100/9.3330149165993=x
10.714651256171=x
x=10.714651256171

now we have:
136.09 is 10.714651256171% of 1270.13