2.3 is what percent of 27.16 - 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 27.16 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 27.16, so we can write it down as 100%=27.16.
4. We know, that x% equals 2.3 of the output value, so we can write it down as x%=2.3.
5. Now we have two simple equations:
1) 100%=27.16
2) x%=2.3
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%=27.16/2.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.3 is what percent of 27.16

100%/x%=27.16/2.3
(100/x)*x=(27.16/2.3)*x       - we multiply both sides of the equation by x
100=11.808695652174*x       - we divide both sides of the equation by (11.808695652174) to get x
100/11.808695652174=x
8.4683357879234=x
x=8.4683357879234

now we have:
2.3 is 8.4683357879234% of 27.16