109.57 is what percent of 310.61 - 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 310.61 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 310.61, so we can write it down as 100%=310.61.
4. We know, that x% equals 109.57 of the output value, so we can write it down as x%=109.57.
5. Now we have two simple equations:
1) 100%=310.61
2) x%=109.57
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%=310.61/109.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.57 is what percent of 310.61

100%/x%=310.61/109.57
(100/x)*x=(310.61/109.57)*x       - we multiply both sides of the equation by x
100=2.8348087980287*x       - we divide both sides of the equation by (2.8348087980287) to get x
100/2.8348087980287=x
35.275747722224=x
x=35.275747722224

now we have:
109.57 is 35.275747722224% of 310.61