28.75 is what percent of 43.6 - 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 43.6 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 43.6, so we can write it down as 100%=43.6.
4. We know, that x% equals 28.75 of the output value, so we can write it down as x%=28.75.
5. Now we have two simple equations:
1) 100%=43.6
2) x%=28.75
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%=43.6/28.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.75 is what percent of 43.6

100%/x%=43.6/28.75
(100/x)*x=(43.6/28.75)*x       - we multiply both sides of the equation by x
100=1.5165217391304*x       - we divide both sides of the equation by (1.5165217391304) to get x
100/1.5165217391304=x
65.940366972477=x
x=65.940366972477

now we have:
28.75 is 65.940366972477% of 43.6