337.82 is what percent of 989 - 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 989 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 989, so we can write it down as 100%=989.
4. We know, that x% equals 337.82 of the output value, so we can write it down as x%=337.82.
5. Now we have two simple equations:
1) 100%=989
2) x%=337.82
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%=989/337.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 337.82 is what percent of 989

100%/x%=989/337.82
(100/x)*x=(989/337.82)*x       - we multiply both sides of the equation by x
100=2.9275945769937*x       - we divide both sides of the equation by (2.9275945769937) to get x
100/2.9275945769937=x
34.157735085945=x
x=34.157735085945

now we have:
337.82 is 34.157735085945% of 989