109.3 is what percent of 998 - 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 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, so we can write it down as 100%=998.
4. We know, that x% equals 109.3 of the output value, so we can write it down as x%=109.3.
5. Now we have two simple equations:
1) 100%=998
2) x%=109.3
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%=998/109.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.3 is what percent of 998

100%/x%=998/109.3
(100/x)*x=(998/109.3)*x       - we multiply both sides of the equation by x
100=9.1308325709058*x       - we divide both sides of the equation by (9.1308325709058) to get x
100/9.1308325709058=x
10.951903807615=x
x=10.951903807615

now we have:
109.3 is 10.951903807615% of 998