2.09 is what percent of 20.95 - 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 20.95 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 20.95, so we can write it down as 100%=20.95.
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%=20.95
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%=20.95/2.09
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 20.95

100%/x%=20.95/2.09
(100/x)*x=(20.95/2.09)*x       - we multiply both sides of the equation by x
100=10.023923444976*x       - we divide both sides of the equation by (10.023923444976) to get x
100/10.023923444976=x
9.9761336515513=x
x=9.9761336515513

now we have:
2.09 is 9.9761336515513% of 20.95