91.8 is what percent of 998.58 - 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 998.58 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 998.58, so we can write it down as 100%=998.58.
4. We know, that x% equals 91.8 of the output value, so we can write it down as x%=91.8.
5. Now we have two simple equations:
1) 100%=998.58
2) x%=91.8
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%=998.58/91.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 91.8 is what percent of 998.58

100%/x%=998.58/91.8
(100/x)*x=(998.58/91.8)*x       - we multiply both sides of the equation by x
100=10.877777777778*x       - we divide both sides of the equation by (10.877777777778) to get x
100/10.877777777778=x
9.1930541368744=x
x=9.1930541368744

now we have:
91.8 is 9.1930541368744% of 998.58