29.9 is what percent of 40.6 - 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 40.6 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 40.6, so we can write it down as 100%=40.6.
4. We know, that x% equals 29.9 of the output value, so we can write it down as x%=29.9.
5. Now we have two simple equations:
1) 100%=40.6
2) x%=29.9
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%=40.6/29.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.9 is what percent of 40.6

100%/x%=40.6/29.9
(100/x)*x=(40.6/29.9)*x       - we multiply both sides of the equation by x
100=1.3578595317726*x       - we divide both sides of the equation by (1.3578595317726) to get x
100/1.3578595317726=x
73.645320197044=x
x=73.645320197044

now we have:
29.9 is 73.645320197044% of 40.6