0.29 is what percent of 16.74 - 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 16.74 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 16.74, so we can write it down as 100%=16.74.
4. We know, that x% equals 0.29 of the output value, so we can write it down as x%=0.29.
5. Now we have two simple equations:
1) 100%=16.74
2) x%=0.29
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%=16.74/0.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.29 is what percent of 16.74

100%/x%=16.74/0.29
(100/x)*x=(16.74/0.29)*x       - we multiply both sides of the equation by x
100=57.724137931034*x       - we divide both sides of the equation by (57.724137931034) to get x
100/57.724137931034=x
1.7323775388292=x
x=1.7323775388292

now we have:
0.29 is 1.7323775388292% of 16.74