36.21 is what percent of 82.86 - 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 82.86 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 82.86, so we can write it down as 100%=82.86.
4. We know, that x% equals 36.21 of the output value, so we can write it down as x%=36.21.
5. Now we have two simple equations:
1) 100%=82.86
2) x%=36.21
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%=82.86/36.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.21 is what percent of 82.86

100%/x%=82.86/36.21
(100/x)*x=(82.86/36.21)*x       - we multiply both sides of the equation by x
100=2.2883181441591*x       - we divide both sides of the equation by (2.2883181441591) to get x
100/2.2883181441591=x
43.700217233888=x
x=43.700217233888

now we have:
36.21 is 43.700217233888% of 82.86