122.35 is what percent of 429.99 - 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 429.99 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 429.99, so we can write it down as 100%=429.99.
4. We know, that x% equals 122.35 of the output value, so we can write it down as x%=122.35.
5. Now we have two simple equations:
1) 100%=429.99
2) x%=122.35
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%=429.99/122.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 122.35 is what percent of 429.99

100%/x%=429.99/122.35
(100/x)*x=(429.99/122.35)*x       - we multiply both sides of the equation by x
100=3.5144258275439*x       - we divide both sides of the equation by (3.5144258275439) to get x
100/3.5144258275439=x
28.454150096514=x
x=28.454150096514

now we have:
122.35 is 28.454150096514% of 429.99