28.52 is what percent of 79 - 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 79 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 79, so we can write it down as 100%=79.
4. We know, that x% equals 28.52 of the output value, so we can write it down as x%=28.52.
5. Now we have two simple equations:
1) 100%=79
2) x%=28.52
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%=79/28.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.52 is what percent of 79

100%/x%=79/28.52
(100/x)*x=(79/28.52)*x       - we multiply both sides of the equation by x
100=2.7699859747546*x       - we divide both sides of the equation by (2.7699859747546) to get x
100/2.7699859747546=x
36.101265822785=x
x=36.101265822785

now we have:
28.52 is 36.101265822785% of 79