469.5 is what percent of 925.5 - 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 925.5 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 925.5, so we can write it down as 100%=925.5.
4. We know, that x% equals 469.5 of the output value, so we can write it down as x%=469.5.
5. Now we have two simple equations:
1) 100%=925.5
2) x%=469.5
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%=925.5/469.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 469.5 is what percent of 925.5

100%/x%=925.5/469.5
(100/x)*x=(925.5/469.5)*x       - we multiply both sides of the equation by x
100=1.9712460063898*x       - we divide both sides of the equation by (1.9712460063898) to get x
100/1.9712460063898=x
50.729335494327=x
x=50.729335494327

now we have:
469.5 is 50.729335494327% of 925.5