468.55 is what percent of 2208.34 - 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 2208.34 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 2208.34, so we can write it down as 100%=2208.34.
4. We know, that x% equals 468.55 of the output value, so we can write it down as x%=468.55.
5. Now we have two simple equations:
1) 100%=2208.34
2) x%=468.55
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%=2208.34/468.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 468.55 is what percent of 2208.34

100%/x%=2208.34/468.55
(100/x)*x=(2208.34/468.55)*x       - we multiply both sides of the equation by x
100=4.7131362714758*x       - we divide both sides of the equation by (4.7131362714758) to get x
100/4.7131362714758=x
21.217294438356=x
x=21.217294438356

now we have:
468.55 is 21.217294438356% of 2208.34