42.26 is what percent of 124.99 - 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 124.99 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 124.99, so we can write it down as 100%=124.99.
4. We know, that x% equals 42.26 of the output value, so we can write it down as x%=42.26.
5. Now we have two simple equations:
1) 100%=124.99
2) x%=42.26
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%=124.99/42.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.26 is what percent of 124.99

100%/x%=124.99/42.26
(100/x)*x=(124.99/42.26)*x       - we multiply both sides of the equation by x
100=2.9576431613819*x       - we divide both sides of the equation by (2.9576431613819) to get x
100/2.9576431613819=x
33.810704856389=x
x=33.810704856389

now we have:
42.26 is 33.810704856389% of 124.99