29.57 is what percent of 36 - 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 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, so we can write it down as 100%=36.
4. We know, that x% equals 29.57 of the output value, so we can write it down as x%=29.57.
5. Now we have two simple equations:
1) 100%=36
2) x%=29.57
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%=36/29.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.57 is what percent of 36

100%/x%=36/29.57
(100/x)*x=(36/29.57)*x       - we multiply both sides of the equation by x
100=1.2174501183632*x       - we divide both sides of the equation by (1.2174501183632) to get x
100/1.2174501183632=x
82.138888888889=x
x=82.138888888889

now we have:
29.57 is 82.138888888889% of 36