2.205 is what percent of 2 - 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 2 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 2, so we can write it down as 100%=2.
4. We know, that x% equals 2.205 of the output value, so we can write it down as x%=2.205.
5. Now we have two simple equations:
1) 100%=2
2) x%=2.205
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%=2/2.205
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.205 is what percent of 2

100%/x%=2/2.205
(100/x)*x=(2/2.205)*x       - we multiply both sides of the equation by x
100=0.90702947845805*x       - we divide both sides of the equation by (0.90702947845805) to get x
100/0.90702947845805=x
110.25=x
x=110.25

now we have:
2.205 is 110.25% of 2