130.97 is what percent of 1265.45 - 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 1265.45 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 1265.45, so we can write it down as 100%=1265.45.
4. We know, that x% equals 130.97 of the output value, so we can write it down as x%=130.97.
5. Now we have two simple equations:
1) 100%=1265.45
2) x%=130.97
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%=1265.45/130.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 130.97 is what percent of 1265.45

100%/x%=1265.45/130.97
(100/x)*x=(1265.45/130.97)*x       - we multiply both sides of the equation by x
100=9.662136367107*x       - we divide both sides of the equation by (9.662136367107) to get x
100/9.662136367107=x
10.349677980165=x
x=10.349677980165

now we have:
130.97 is 10.349677980165% of 1265.45