504.5 is what percent of 423.81 - 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 423.81 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 423.81, so we can write it down as 100%=423.81.
4. We know, that x% equals 504.5 of the output value, so we can write it down as x%=504.5.
5. Now we have two simple equations:
1) 100%=423.81
2) x%=504.5
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%=423.81/504.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 504.5 is what percent of 423.81

100%/x%=423.81/504.5
(100/x)*x=(423.81/504.5)*x       - we multiply both sides of the equation by x
100=0.84005946481665*x       - we divide both sides of the equation by (0.84005946481665) to get x
100/0.84005946481665=x
119.0391920908=x
x=119.0391920908

now we have:
504.5 is 119.0391920908% of 423.81