2.2 is what percent of 10.1 - 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 10.1 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 10.1, so we can write it down as 100%=10.1.
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%=10.1
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%=10.1/2.2
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 10.1

100%/x%=10.1/2.2
(100/x)*x=(10.1/2.2)*x       - we multiply both sides of the equation by x
100=4.5909090909091*x       - we divide both sides of the equation by (4.5909090909091) to get x
100/4.5909090909091=x
21.782178217822=x
x=21.782178217822

now we have:
2.2 is 21.782178217822% of 10.1