28.74 is what percent of 78.74 - 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 78.74 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 78.74, so we can write it down as 100%=78.74.
4. We know, that x% equals 28.74 of the output value, so we can write it down as x%=28.74.
5. Now we have two simple equations:
1) 100%=78.74
2) x%=28.74
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%=78.74/28.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.74 is what percent of 78.74

100%/x%=78.74/28.74
(100/x)*x=(78.74/28.74)*x       - we multiply both sides of the equation by x
100=2.7397355601949*x       - we divide both sides of the equation by (2.7397355601949) to get x
100/2.7397355601949=x
36.499872999746=x
x=36.499872999746

now we have:
28.74 is 36.499872999746% of 78.74