467.9 is what percent of 525 - 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 525 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 525, so we can write it down as 100%=525.
4. We know, that x% equals 467.9 of the output value, so we can write it down as x%=467.9.
5. Now we have two simple equations:
1) 100%=525
2) x%=467.9
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%=525/467.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 467.9 is what percent of 525

100%/x%=525/467.9
(100/x)*x=(525/467.9)*x       - we multiply both sides of the equation by x
100=1.1220346227826*x       - we divide both sides of the equation by (1.1220346227826) to get x
100/1.1220346227826=x
89.12380952381=x
x=89.12380952381

now we have:
467.9 is 89.12380952381% of 525