18.46 is what percent of 35.1 - 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 35.1 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 35.1, so we can write it down as 100%=35.1.
4. We know, that x% equals 18.46 of the output value, so we can write it down as x%=18.46.
5. Now we have two simple equations:
1) 100%=35.1
2) x%=18.46
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%=35.1/18.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.46 is what percent of 35.1

100%/x%=35.1/18.46
(100/x)*x=(35.1/18.46)*x       - we multiply both sides of the equation by x
100=1.9014084507042*x       - we divide both sides of the equation by (1.9014084507042) to get x
100/1.9014084507042=x
52.592592592593=x
x=52.592592592593

now we have:
18.46 is 52.592592592593% of 35.1