46 is what percent of 326 - 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 326 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 326, so we can write it down as 100%=326.
4. We know, that x% equals 46 of the output value, so we can write it down as x%=46.
5. Now we have two simple equations:
1) 100%=326
2) x%=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%=326/46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46 is what percent of 326

100%/x%=326/46
(100/x)*x=(326/46)*x       - we multiply both sides of the equation by x
100=7.0869565217391*x       - we divide both sides of the equation by (7.0869565217391) to get x
100/7.0869565217391=x
14.110429447853=x
x=14.110429447853

now we have:
46 is 14.110429447853% of 326