27.74 is what percent of 162.85 - 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 162.85 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 162.85, so we can write it down as 100%=162.85.
4. We know, that x% equals 27.74 of the output value, so we can write it down as x%=27.74.
5. Now we have two simple equations:
1) 100%=162.85
2) x%=27.74
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%=162.85/27.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.74 is what percent of 162.85

100%/x%=162.85/27.74
(100/x)*x=(162.85/27.74)*x       - we multiply both sides of the equation by x
100=5.8705839942322*x       - we divide both sides of the equation by (5.8705839942322) to get x
100/5.8705839942322=x
17.034080442125=x
x=17.034080442125

now we have:
27.74 is 17.034080442125% of 162.85