863.73 is what percent of 916.98 - 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 916.98 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 916.98, so we can write it down as 100%=916.98.
4. We know, that x% equals 863.73 of the output value, so we can write it down as x%=863.73.
5. Now we have two simple equations:
1) 100%=916.98
2) x%=863.73
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%=916.98/863.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 863.73 is what percent of 916.98

100%/x%=916.98/863.73
(100/x)*x=(916.98/863.73)*x       - we multiply both sides of the equation by x
100=1.0616512104477*x       - we divide both sides of the equation by (1.0616512104477) to get x
100/1.0616512104477=x
94.192894065301=x
x=94.192894065301

now we have:
863.73 is 94.192894065301% of 916.98