16.99 is what percent of 34.08 - 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 34.08 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 34.08, so we can write it down as 100%=34.08.
4. We know, that x% equals 16.99 of the output value, so we can write it down as x%=16.99.
5. Now we have two simple equations:
1) 100%=34.08
2) x%=16.99
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%=34.08/16.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.99 is what percent of 34.08

100%/x%=34.08/16.99
(100/x)*x=(34.08/16.99)*x       - we multiply both sides of the equation by x
100=2.0058858151854*x       - we divide both sides of the equation by (2.0058858151854) to get x
100/2.0058858151854=x
49.853286384977=x
x=49.853286384977

now we have:
16.99 is 49.853286384977% of 34.08