12.45 is what percent of 1.15 - 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 1.15 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 1.15, so we can write it down as 100%=1.15.
4. We know, that x% equals 12.45 of the output value, so we can write it down as x%=12.45.
5. Now we have two simple equations:
1) 100%=1.15
2) x%=12.45
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%=1.15/12.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.45 is what percent of 1.15

100%/x%=1.15/12.45
(100/x)*x=(1.15/12.45)*x       - we multiply both sides of the equation by x
100=0.092369477911647*x       - we divide both sides of the equation by (0.092369477911647) to get x
100/0.092369477911647=x
1082.6086956522=x
x=1082.6086956522

now we have:
12.45 is 1082.6086956522% of 1.15