30.01 is what percent of 36.16 - 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 36.16 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 36.16, so we can write it down as 100%=36.16.
4. We know, that x% equals 30.01 of the output value, so we can write it down as x%=30.01.
5. Now we have two simple equations:
1) 100%=36.16
2) x%=30.01
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%=36.16/30.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.01 is what percent of 36.16

100%/x%=36.16/30.01
(100/x)*x=(36.16/30.01)*x       - we multiply both sides of the equation by x
100=1.2049316894369*x       - we divide both sides of the equation by (1.2049316894369) to get x
100/1.2049316894369=x
82.992256637168=x
x=82.992256637168

now we have:
30.01 is 82.992256637168% of 36.16