109.03 is what percent of 785.49 - 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 785.49 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 785.49, so we can write it down as 100%=785.49.
4. We know, that x% equals 109.03 of the output value, so we can write it down as x%=109.03.
5. Now we have two simple equations:
1) 100%=785.49
2) x%=109.03
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%=785.49/109.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.03 is what percent of 785.49

100%/x%=785.49/109.03
(100/x)*x=(785.49/109.03)*x       - we multiply both sides of the equation by x
100=7.2043474273136*x       - we divide both sides of the equation by (7.2043474273136) to get x
100/7.2043474273136=x
13.880507708564=x
x=13.880507708564

now we have:
109.03 is 13.880507708564% of 785.49