121.26 is what percent of 515.36 - 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 515.36 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 515.36, so we can write it down as 100%=515.36.
4. We know, that x% equals 121.26 of the output value, so we can write it down as x%=121.26.
5. Now we have two simple equations:
1) 100%=515.36
2) x%=121.26
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%=515.36/121.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 121.26 is what percent of 515.36

100%/x%=515.36/121.26
(100/x)*x=(515.36/121.26)*x       - we multiply both sides of the equation by x
100=4.2500412337127*x       - we divide both sides of the equation by (4.2500412337127) to get x
100/4.2500412337127=x
23.52918348339=x
x=23.52918348339

now we have:
121.26 is 23.52918348339% of 515.36