818.18 is what percent of 1100.75 - 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 1100.75 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 1100.75, so we can write it down as 100%=1100.75.
4. We know, that x% equals 818.18 of the output value, so we can write it down as x%=818.18.
5. Now we have two simple equations:
1) 100%=1100.75
2) x%=818.18
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%=1100.75/818.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 818.18 is what percent of 1100.75

100%/x%=1100.75/818.18
(100/x)*x=(1100.75/818.18)*x       - we multiply both sides of the equation by x
100=1.3453641008091*x       - we divide both sides of the equation by (1.3453641008091) to get x
100/1.3453641008091=x
74.329320917556=x
x=74.329320917556

now we have:
818.18 is 74.329320917556% of 1100.75