9.14 is what percent of 110.3 - 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 110.3 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 110.3, so we can write it down as 100%=110.3.
4. We know, that x% equals 9.14 of the output value, so we can write it down as x%=9.14.
5. Now we have two simple equations:
1) 100%=110.3
2) x%=9.14
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%=110.3/9.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.14 is what percent of 110.3

100%/x%=110.3/9.14
(100/x)*x=(110.3/9.14)*x       - we multiply both sides of the equation by x
100=12.067833698031*x       - we divide both sides of the equation by (12.067833698031) to get x
100/12.067833698031=x
8.286491387126=x
x=8.286491387126

now we have:
9.14 is 8.286491387126% of 110.3