28.47 is what percent of 275.97 - 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 275.97 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 275.97, so we can write it down as 100%=275.97.
4. We know, that x% equals 28.47 of the output value, so we can write it down as x%=28.47.
5. Now we have two simple equations:
1) 100%=275.97
2) x%=28.47
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%=275.97/28.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.47 is what percent of 275.97

100%/x%=275.97/28.47
(100/x)*x=(275.97/28.47)*x       - we multiply both sides of the equation by x
100=9.6933614330875*x       - we divide both sides of the equation by (9.6933614330875) to get x
100/9.6933614330875=x
10.316338732471=x
x=10.316338732471

now we have:
28.47 is 10.316338732471% of 275.97