29.59 is what percent of 36.84 - 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 36.84 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 36.84, so we can write it down as 100%=36.84.
4. We know, that x% equals 29.59 of the output value, so we can write it down as x%=29.59.
5. Now we have two simple equations:
1) 100%=36.84
2) x%=29.59
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%=36.84/29.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.59 is what percent of 36.84

100%/x%=36.84/29.59
(100/x)*x=(36.84/29.59)*x       - we multiply both sides of the equation by x
100=1.2450152078405*x       - we divide both sides of the equation by (1.2450152078405) to get x
100/1.2450152078405=x
80.320304017372=x
x=80.320304017372

now we have:
29.59 is 80.320304017372% of 36.84