121.61 is what percent of 149.5 - 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 149.5 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 149.5, so we can write it down as 100%=149.5.
4. We know, that x% equals 121.61 of the output value, so we can write it down as x%=121.61.
5. Now we have two simple equations:
1) 100%=149.5
2) x%=121.61
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%=149.5/121.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 121.61 is what percent of 149.5

100%/x%=149.5/121.61
(100/x)*x=(149.5/121.61)*x       - we multiply both sides of the equation by x
100=1.2293396924595*x       - we divide both sides of the equation by (1.2293396924595) to get x
100/1.2293396924595=x
81.344481605351=x
x=81.344481605351

now we have:
121.61 is 81.344481605351% of 149.5