28.24 is what percent of 28.76 - 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 28.76 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 28.76, so we can write it down as 100%=28.76.
4. We know, that x% equals 28.24 of the output value, so we can write it down as x%=28.24.
5. Now we have two simple equations:
1) 100%=28.76
2) x%=28.24
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%=28.76/28.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.24 is what percent of 28.76

100%/x%=28.76/28.24
(100/x)*x=(28.76/28.24)*x       - we multiply both sides of the equation by x
100=1.0184135977337*x       - we divide both sides of the equation by (1.0184135977337) to get x
100/1.0184135977337=x
98.191933240612=x
x=98.191933240612

now we have:
28.24 is 98.191933240612% of 28.76