2.09 is what percent of 2.12 - 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 2.12 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 2.12, so we can write it down as 100%=2.12.
4. We know, that x% equals 2.09 of the output value, so we can write it down as x%=2.09.
5. Now we have two simple equations:
1) 100%=2.12
2) x%=2.09
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%=2.12/2.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.09 is what percent of 2.12

100%/x%=2.12/2.09
(100/x)*x=(2.12/2.09)*x       - we multiply both sides of the equation by x
100=1.0143540669856*x       - we divide both sides of the equation by (1.0143540669856) to get x
100/1.0143540669856=x
98.584905660377=x
x=98.584905660377

now we have:
2.09 is 98.584905660377% of 2.12