108.18 is what percent of 1045 - 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 1045 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 1045, so we can write it down as 100%=1045.
4. We know, that x% equals 108.18 of the output value, so we can write it down as x%=108.18.
5. Now we have two simple equations:
1) 100%=1045
2) x%=108.18
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%=1045/108.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.18 is what percent of 1045

100%/x%=1045/108.18
(100/x)*x=(1045/108.18)*x       - we multiply both sides of the equation by x
100=9.6598262155666*x       - we divide both sides of the equation by (9.6598262155666) to get x
100/9.6598262155666=x
10.352153110048=x
x=10.352153110048

now we have:
108.18 is 10.352153110048% of 1045