Question

46 is 92 percent of what number

Answer 1

1. We assume, that the number 92 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 92, so we can write it down as 100%=92. 
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%=92
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%=92/46
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 92

100%/x%=92/46
(100/x)*x=(92/46)*x       - we multiply both sides of the equation by x
100=2*x       - we divide both sides of the equation by (2) to get x
100/2=x 
50=x 
x=50

now we have: 
46 is 50% of 92

I hope this helps!