0.6 is what percent of 27.05 - 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 27.05 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 27.05, so we can write it down as 100%=27.05.
4. We know, that x% equals 0.6 of the output value, so we can write it down as x%=0.6.
5. Now we have two simple equations:
1) 100%=27.05
2) x%=0.6
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%=27.05/0.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.6 is what percent of 27.05

100%/x%=27.05/0.6
(100/x)*x=(27.05/0.6)*x       - we multiply both sides of the equation by x
100=45.083333333333*x       - we divide both sides of the equation by (45.083333333333) to get x
100/45.083333333333=x
2.2181146025878=x
x=2.2181146025878

now we have:
0.6 is 2.2181146025878% of 27.05