0.29 is what percent of 1.69 - 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 1.69 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 1.69, so we can write it down as 100%=1.69.
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%=1.69
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%=1.69/0.29
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 1.69

100%/x%=1.69/0.29
(100/x)*x=(1.69/0.29)*x       - we multiply both sides of the equation by x
100=5.8275862068966*x       - we divide both sides of the equation by (5.8275862068966) to get x
100/5.8275862068966=x
17.159763313609=x
x=17.159763313609

now we have:
0.29 is 17.159763313609% of 1.69