28.6 is what percent of 155.8 - 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 155.8 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 155.8, so we can write it down as 100%=155.8.
4. We know, that x% equals 28.6 of the output value, so we can write it down as x%=28.6.
5. Now we have two simple equations:
1) 100%=155.8
2) x%=28.6
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%=155.8/28.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.6 is what percent of 155.8

100%/x%=155.8/28.6
(100/x)*x=(155.8/28.6)*x       - we multiply both sides of the equation by x
100=5.4475524475524*x       - we divide both sides of the equation by (5.4475524475524) to get x
100/5.4475524475524=x
18.356867779204=x
x=18.356867779204

now we have:
28.6 is 18.356867779204% of 155.8