109.17 is what percent of 310.21 - 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 310.21 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 310.21, so we can write it down as 100%=310.21.
4. We know, that x% equals 109.17 of the output value, so we can write it down as x%=109.17.
5. Now we have two simple equations:
1) 100%=310.21
2) x%=109.17
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%=310.21/109.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.17 is what percent of 310.21

100%/x%=310.21/109.17
(100/x)*x=(310.21/109.17)*x       - we multiply both sides of the equation by x
100=2.8415315562884*x       - we divide both sides of the equation by (2.8415315562884) to get x
100/2.8415315562884=x
35.192289094484=x
x=35.192289094484

now we have:
109.17 is 35.192289094484% of 310.21