109.02 is what percent of 337.82 - 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 337.82 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 337.82, so we can write it down as 100%=337.82.
4. We know, that x% equals 109.02 of the output value, so we can write it down as x%=109.02.
5. Now we have two simple equations:
1) 100%=337.82
2) x%=109.02
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%=337.82/109.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.02 is what percent of 337.82

100%/x%=337.82/109.02
(100/x)*x=(337.82/109.02)*x       - we multiply both sides of the equation by x
100=3.0986974866997*x       - we divide both sides of the equation by (3.0986974866997) to get x
100/3.0986974866997=x
32.271623941744=x
x=32.271623941744

now we have:
109.02 is 32.271623941744% of 337.82