120.97 is what percent of 155.78 - 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 155.78 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 155.78, so we can write it down as 100%=155.78.
4. We know, that x% equals 120.97 of the output value, so we can write it down as x%=120.97.
5. Now we have two simple equations:
1) 100%=155.78
2) x%=120.97
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%=155.78/120.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 120.97 is what percent of 155.78

100%/x%=155.78/120.97
(100/x)*x=(155.78/120.97)*x       - we multiply both sides of the equation by x
100=1.2877572951972*x       - we divide both sides of the equation by (1.2877572951972) to get x
100/1.2877572951972=x
77.65438438824=x
x=77.65438438824

now we have:
120.97 is 77.65438438824% of 155.78