790.5 is what percent of 1.07 - 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 1.07 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 1.07, so we can write it down as 100%=1.07.
4. We know, that x% equals 790.5 of the output value, so we can write it down as x%=790.5.
5. Now we have two simple equations:
1) 100%=1.07
2) x%=790.5
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%=1.07/790.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 790.5 is what percent of 1.07

100%/x%=1.07/790.5
(100/x)*x=(1.07/790.5)*x       - we multiply both sides of the equation by x
100=0.0013535736875395*x       - we divide both sides of the equation by (0.0013535736875395) to get x
100/0.0013535736875395=x
73878.504672897=x
x=73878.504672897

now we have:
790.5 is 73878.504672897% of 1.07