34.04 is what percent of 170.19 - 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 170.19 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 170.19, so we can write it down as 100%=170.19.
4. We know, that x% equals 34.04 of the output value, so we can write it down as x%=34.04.
5. Now we have two simple equations:
1) 100%=170.19
2) x%=34.04
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%=170.19/34.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.04 is what percent of 170.19

100%/x%=170.19/34.04
(100/x)*x=(170.19/34.04)*x       - we multiply both sides of the equation by x
100=4.9997062279671*x       - we divide both sides of the equation by (4.9997062279671) to get x
100/4.9997062279671=x
20.001175157177=x
x=20.001175157177

now we have:
34.04 is 20.001175157177% of 170.19