28.43 is what percent of 36.77 - 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 36.77 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 36.77, so we can write it down as 100%=36.77.
4. We know, that x% equals 28.43 of the output value, so we can write it down as x%=28.43.
5. Now we have two simple equations:
1) 100%=36.77
2) x%=28.43
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%=36.77/28.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.43 is what percent of 36.77

100%/x%=36.77/28.43
(100/x)*x=(36.77/28.43)*x       - we multiply both sides of the equation by x
100=1.2933520928597*x       - we divide both sides of the equation by (1.2933520928597) to get x
100/1.2933520928597=x
77.318466140876=x
x=77.318466140876

now we have:
28.43 is 77.318466140876% of 36.77