122.73 is what percent of 722.73 - 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 722.73 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 722.73, so we can write it down as 100%=722.73.
4. We know, that x% equals 122.73 of the output value, so we can write it down as x%=122.73.
5. Now we have two simple equations:
1) 100%=722.73
2) x%=122.73
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%=722.73/122.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 122.73 is what percent of 722.73

100%/x%=722.73/122.73
(100/x)*x=(722.73/122.73)*x       - we multiply both sides of the equation by x
100=5.8887802493278*x       - we divide both sides of the equation by (5.8887802493278) to get x
100/5.8887802493278=x
16.981445353036=x
x=16.981445353036

now we have:
122.73 is 16.981445353036% of 722.73