27 is what percent of 25.6 - 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 25.6 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 25.6, so we can write it down as 100%=25.6.
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%=25.6
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%=25.6/27
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 25.6

100%/x%=25.6/27
(100/x)*x=(25.6/27)*x       - we multiply both sides of the equation by x
100=0.948148148148*x       - we divide both sides of the equation by (0.948148148148) to get x
100/0.948148148148=x
105.46875=x
x=105.46875

now we have:
27 is 105.46875% of 25.6