28.79 is what percent of 501.25 - 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 501.25 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 501.25, so we can write it down as 100%=501.25.
4. We know, that x% equals 28.79 of the output value, so we can write it down as x%=28.79.
5. Now we have two simple equations:
1) 100%=501.25
2) x%=28.79
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%=501.25/28.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.79 is what percent of 501.25

100%/x%=501.25/28.79
(100/x)*x=(501.25/28.79)*x       - we multiply both sides of the equation by x
100=17.410559221952*x       - we divide both sides of the equation by (17.410559221952) to get x
100/17.410559221952=x
5.7436408977556=x
x=5.7436408977556

now we have:
28.79 is 5.7436408977556% of 501.25