29.6 is what percent of 46 - 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 46 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 46, so we can write it down as 100%=46.
4. We know, that x% equals 29.6 of the output value, so we can write it down as x%=29.6.
5. Now we have two simple equations:
1) 100%=46
2) x%=29.6
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%=46/29.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.6 is what percent of 46

100%/x%=46/29.6
(100/x)*x=(46/29.6)*x       - we multiply both sides of the equation by x
100=1.5540540540541*x       - we divide both sides of the equation by (1.5540540540541) to get x
100/1.5540540540541=x
64.347826086957=x
x=64.347826086957

now we have:
29.6 is 64.347826086957% of 46