2.2 is what percent of 100.6 - 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 100.6 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 100.6, so we can write it down as 100%=100.6.
4. We know, that x% equals 2.2 of the output value, so we can write it down as x%=2.2.
5. Now we have two simple equations:
1) 100%=100.6
2) x%=2.2
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%=100.6/2.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.2 is what percent of 100.6

100%/x%=100.6/2.2
(100/x)*x=(100.6/2.2)*x       - we multiply both sides of the equation by x
100=45.727272727273*x       - we divide both sides of the equation by (45.727272727273) to get x
100/45.727272727273=x
2.1868787276342=x
x=2.1868787276342

now we have:
2.2 is 2.1868787276342% of 100.6