28.62 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 28.62 of the output value, so we can write it down as x%=28.62.
5. Now we have two simple equations:
1) 100%=36.84
2) x%=28.62
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%=36.84/28.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.62 is what percent of 36.84

100%/x%=36.84/28.62
(100/x)*x=(36.84/28.62)*x       - we multiply both sides of the equation by x
100=1.2872117400419*x       - we divide both sides of the equation by (1.2872117400419) to get x
100/1.2872117400419=x
77.687296416938=x
x=77.687296416938

now we have:
28.62 is 77.687296416938% of 36.84