40.33 is what percent of 309.13 - 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 309.13 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 309.13, so we can write it down as 100%=309.13.
4. We know, that x% equals 40.33 of the output value, so we can write it down as x%=40.33.
5. Now we have two simple equations:
1) 100%=309.13
2) x%=40.33
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%=309.13/40.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.33 is what percent of 309.13

100%/x%=309.13/40.33
(100/x)*x=(309.13/40.33)*x       - we multiply both sides of the equation by x
100=7.6650136374907*x       - we divide both sides of the equation by (7.6650136374907) to get x
100/7.6650136374907=x
13.046291204348=x
x=13.046291204348

now we have:
40.33 is 13.046291204348% of 309.13