2.05 is what percent of 2.009 - 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 2.009 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 2.009, so we can write it down as 100%=2.009.
4. We know, that x% equals 2.05 of the output value, so we can write it down as x%=2.05.
5. Now we have two simple equations:
1) 100%=2.009
2) x%=2.05
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%=2.009/2.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.05 is what percent of 2.009

100%/x%=2.009/2.05
(100/x)*x=(2.009/2.05)*x       - we multiply both sides of the equation by x
100=0.98*x       - we divide both sides of the equation by (0.98) to get x
100/0.98=x
102.04081632653=x
x=102.04081632653

now we have:
2.05 is 102.04081632653% of 2.009