103.4 is what percent of 1110.38 - 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 1110.38 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 1110.38, so we can write it down as 100%=1110.38.
4. We know, that x% equals 103.4 of the output value, so we can write it down as x%=103.4.
5. Now we have two simple equations:
1) 100%=1110.38
2) x%=103.4
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%=1110.38/103.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.4 is what percent of 1110.38

100%/x%=1110.38/103.4
(100/x)*x=(1110.38/103.4)*x       - we multiply both sides of the equation by x
100=10.738684719536*x       - we divide both sides of the equation by (10.738684719536) to get x
100/10.738684719536=x
9.3121273798159=x
x=9.3121273798159

now we have:
103.4 is 9.3121273798159% of 1110.38