202.34 is what percent of 4425.78 - 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 4425.78 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 4425.78, so we can write it down as 100%=4425.78.
4. We know, that x% equals 202.34 of the output value, so we can write it down as x%=202.34.
5. Now we have two simple equations:
1) 100%=4425.78
2) x%=202.34
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%=4425.78/202.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 202.34 is what percent of 4425.78

100%/x%=4425.78/202.34
(100/x)*x=(4425.78/202.34)*x       - we multiply both sides of the equation by x
100=21.872986063062*x       - we divide both sides of the equation by (21.872986063062) to get x
100/21.872986063062=x
4.5718494818992=x
x=4.5718494818992

now we have:
202.34 is 4.5718494818992% of 4425.78