235.24 is what percent of 1014.56 - 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 1014.56 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 1014.56, so we can write it down as 100%=1014.56.
4. We know, that x% equals 235.24 of the output value, so we can write it down as x%=235.24.
5. Now we have two simple equations:
1) 100%=1014.56
2) x%=235.24
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%=1014.56/235.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 235.24 is what percent of 1014.56

100%/x%=1014.56/235.24
(100/x)*x=(1014.56/235.24)*x       - we multiply both sides of the equation by x
100=4.3128719605509*x       - we divide both sides of the equation by (4.3128719605509) to get x
100/4.3128719605509=x
23.186405929664=x
x=23.186405929664

now we have:
235.24 is 23.186405929664% of 1014.56