212.5 is what percent of 902.5 - 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 902.5 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 902.5, so we can write it down as 100%=902.5.
4. We know, that x% equals 212.5 of the output value, so we can write it down as x%=212.5.
5. Now we have two simple equations:
1) 100%=902.5
2) x%=212.5
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%=902.5/212.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 212.5 is what percent of 902.5

100%/x%=902.5/212.5
(100/x)*x=(902.5/212.5)*x       - we multiply both sides of the equation by x
100=4.2470588235294*x       - we divide both sides of the equation by (4.2470588235294) to get x
100/4.2470588235294=x
23.545706371191=x
x=23.545706371191

now we have:
212.5 is 23.545706371191% of 902.5