222.82 is what percent of 500 - 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 500 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 500, so we can write it down as 100%=500.
4. We know, that x% equals 222.82 of the output value, so we can write it down as x%=222.82.
5. Now we have two simple equations:
1) 100%=500
2) x%=222.82
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%=500/222.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 222.82 is what percent of 500

100%/x%=500/222.82
(100/x)*x=(500/222.82)*x       - we multiply both sides of the equation by x
100=2.243963737546*x       - we divide both sides of the equation by (2.243963737546) to get x
100/2.243963737546=x
44.564=x
x=44.564

now we have:
222.82 is 44.564% of 500