27.68 is what percent of 38.58 - 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 38.58 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 38.58, so we can write it down as 100%=38.58.
4. We know, that x% equals 27.68 of the output value, so we can write it down as x%=27.68.
5. Now we have two simple equations:
1) 100%=38.58
2) x%=27.68
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%=38.58/27.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.68 is what percent of 38.58

100%/x%=38.58/27.68
(100/x)*x=(38.58/27.68)*x       - we multiply both sides of the equation by x
100=1.3937861271676*x       - we divide both sides of the equation by (1.3937861271676) to get x
100/1.3937861271676=x
71.747019180923=x
x=71.747019180923

now we have:
27.68 is 71.747019180923% of 38.58