27.75 is what percent of 160 - 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 160 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 160, so we can write it down as 100%=160.
4. We know, that x% equals 27.75 of the output value, so we can write it down as x%=27.75.
5. Now we have two simple equations:
1) 100%=160
2) x%=27.75
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%=160/27.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.75 is what percent of 160

100%/x%=160/27.75
(100/x)*x=(160/27.75)*x       - we multiply both sides of the equation by x
100=5.7657657657658*x       - we divide both sides of the equation by (5.7657657657658) to get x
100/5.7657657657658=x
17.34375=x
x=17.34375

now we have:
27.75 is 17.34375% of 160