29.6 is what percent of 136.3 - 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 136.3 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 136.3, so we can write it down as 100%=136.3.
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%=136.3
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%=136.3/29.6
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 136.3

100%/x%=136.3/29.6
(100/x)*x=(136.3/29.6)*x       - we multiply both sides of the equation by x
100=4.6047297297297*x       - we divide both sides of the equation by (4.6047297297297) to get x
100/4.6047297297297=x
21.716801173881=x
x=21.716801173881

now we have:
29.6 is 21.716801173881% of 136.3