2.49 is what percent of 2.09 - 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 2.09 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 2.09, so we can write it down as 100%=2.09.
4. We know, that x% equals 2.49 of the output value, so we can write it down as x%=2.49.
5. Now we have two simple equations:
1) 100%=2.09
2) x%=2.49
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%=2.09/2.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.49 is what percent of 2.09

100%/x%=2.09/2.49
(100/x)*x=(2.09/2.49)*x       - we multiply both sides of the equation by x
100=0.83935742971888*x       - we divide both sides of the equation by (0.83935742971888) to get x
100/0.83935742971888=x
119.13875598086=x
x=119.13875598086

now we have:
2.49 is 119.13875598086% of 2.09