96.7 is what percent of 120.9 - 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 120.9 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 120.9, so we can write it down as 100%=120.9.
4. We know, that x% equals 96.7 of the output value, so we can write it down as x%=96.7.
5. Now we have two simple equations:
1) 100%=120.9
2) x%=96.7
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%=120.9/96.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.7 is what percent of 120.9

100%/x%=120.9/96.7
(100/x)*x=(120.9/96.7)*x       - we multiply both sides of the equation by x
100=1.2502585315408*x       - we divide both sides of the equation by (1.2502585315408) to get x
100/1.2502585315408=x
79.983457402812=x
x=79.983457402812

now we have:
96.7 is 79.983457402812% of 120.9