424.02 is what percent of 968.97 - 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 968.97 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 968.97, so we can write it down as 100%=968.97.
4. We know, that x% equals 424.02 of the output value, so we can write it down as x%=424.02.
5. Now we have two simple equations:
1) 100%=968.97
2) x%=424.02
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%=968.97/424.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 424.02 is what percent of 968.97

100%/x%=968.97/424.02
(100/x)*x=(968.97/424.02)*x       - we multiply both sides of the equation by x
100=2.2851988113768*x       - we divide both sides of the equation by (2.2851988113768) to get x
100/2.2851988113768=x
43.759868726586=x
x=43.759868726586

now we have:
424.02 is 43.759868726586% of 968.97