34.16 is what percent of 200.12 - 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 200.12 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 200.12, so we can write it down as 100%=200.12.
4. We know, that x% equals 34.16 of the output value, so we can write it down as x%=34.16.
5. Now we have two simple equations:
1) 100%=200.12
2) x%=34.16
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%=200.12/34.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.16 is what percent of 200.12

100%/x%=200.12/34.16
(100/x)*x=(200.12/34.16)*x       - we multiply both sides of the equation by x
100=5.8583138173302*x       - we divide both sides of the equation by (5.8583138173302) to get x
100/5.8583138173302=x
17.069758145113=x
x=17.069758145113

now we have:
34.16 is 17.069758145113% of 200.12