22.21 is what percent of 55.55 - 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 55.55 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 55.55, so we can write it down as 100%=55.55.
4. We know, that x% equals 22.21 of the output value, so we can write it down as x%=22.21.
5. Now we have two simple equations:
1) 100%=55.55
2) x%=22.21
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%=55.55/22.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.21 is what percent of 55.55

100%/x%=55.55/22.21
(100/x)*x=(55.55/22.21)*x       - we multiply both sides of the equation by x
100=2.5011256190905*x       - we divide both sides of the equation by (2.5011256190905) to get x
100/2.5011256190905=x
39.98199819982=x
x=39.98199819982

now we have:
22.21 is 39.98199819982% of 55.55