28.08 is what percent of 162.9 - 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 162.9 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 162.9, so we can write it down as 100%=162.9.
4. We know, that x% equals 28.08 of the output value, so we can write it down as x%=28.08.
5. Now we have two simple equations:
1) 100%=162.9
2) x%=28.08
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%=162.9/28.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.08 is what percent of 162.9

100%/x%=162.9/28.08
(100/x)*x=(162.9/28.08)*x       - we multiply both sides of the equation by x
100=5.8012820512821*x       - we divide both sides of the equation by (5.8012820512821) to get x
100/5.8012820512821=x
17.237569060773=x
x=17.237569060773

now we have:
28.08 is 17.237569060773% of 162.9