107.7 is what percent of 289 - 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 289 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 289, so we can write it down as 100%=289.
4. We know, that x% equals 107.7 of the output value, so we can write it down as x%=107.7.
5. Now we have two simple equations:
1) 100%=289
2) x%=107.7
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%=289/107.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.7 is what percent of 289

100%/x%=289/107.7
(100/x)*x=(289/107.7)*x       - we multiply both sides of the equation by x
100=2.6833797585887*x       - we divide both sides of the equation by (2.6833797585887) to get x
100/2.6833797585887=x
37.266435986159=x
x=37.266435986159

now we have:
107.7 is 37.266435986159% of 289