28.73 is what percent of 97.71 - 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 97.71 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 97.71, so we can write it down as 100%=97.71.
4. We know, that x% equals 28.73 of the output value, so we can write it down as x%=28.73.
5. Now we have two simple equations:
1) 100%=97.71
2) x%=28.73
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%=97.71/28.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.73 is what percent of 97.71

100%/x%=97.71/28.73
(100/x)*x=(97.71/28.73)*x       - we multiply both sides of the equation by x
100=3.4009745910198*x       - we divide both sides of the equation by (3.4009745910198) to get x
100/3.4009745910198=x
29.403336403643=x
x=29.403336403643

now we have:
28.73 is 29.403336403643% of 97.71