108.17 is what percent of 155.44 - 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 155.44 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 155.44, so we can write it down as 100%=155.44.
4. We know, that x% equals 108.17 of the output value, so we can write it down as x%=108.17.
5. Now we have two simple equations:
1) 100%=155.44
2) x%=108.17
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%=155.44/108.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.17 is what percent of 155.44

100%/x%=155.44/108.17
(100/x)*x=(155.44/108.17)*x       - we multiply both sides of the equation by x
100=1.4369973190349*x       - we divide both sides of the equation by (1.4369973190349) to get x
100/1.4369973190349=x
69.589552238806=x
x=69.589552238806

now we have:
108.17 is 69.589552238806% of 155.44