27 is what percent of 259.2 - 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 259.2 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 259.2, so we can write it down as 100%=259.2.
4. We know, that x% equals 27 of the output value, so we can write it down as x%=27.
5. Now we have two simple equations:
1) 100%=259.2
2) x%=27
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%=259.2/27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27 is what percent of 259.2

100%/x%=259.2/27
(100/x)*x=(259.2/27)*x       - we multiply both sides of the equation by x
100=9.6*x       - we divide both sides of the equation by (9.6) to get x
100/9.6=x
10.416666666667=x
x=10.416666666667

now we have:
27 is 10.416666666667% of 259.2