909.73 is what percent of 931.78 - 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 931.78 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 931.78, so we can write it down as 100%=931.78.
4. We know, that x% equals 909.73 of the output value, so we can write it down as x%=909.73.
5. Now we have two simple equations:
1) 100%=931.78
2) x%=909.73
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%=931.78/909.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 909.73 is what percent of 931.78

100%/x%=931.78/909.73
(100/x)*x=(931.78/909.73)*x       - we multiply both sides of the equation by x
100=1.0242379607136*x       - we divide both sides of the equation by (1.0242379607136) to get x
100/1.0242379607136=x
97.633561570328=x
x=97.633561570328

now we have:
909.73 is 97.633561570328% of 931.78