27.78 is what percent of 29.6 - 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 29.6 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 29.6, so we can write it down as 100%=29.6.
4. We know, that x% equals 27.78 of the output value, so we can write it down as x%=27.78.
5. Now we have two simple equations:
1) 100%=29.6
2) x%=27.78
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%=29.6/27.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.78 is what percent of 29.6

100%/x%=29.6/27.78
(100/x)*x=(29.6/27.78)*x       - we multiply both sides of the equation by x
100=1.0655147588193*x       - we divide both sides of the equation by (1.0655147588193) to get x
100/1.0655147588193=x
93.851351351351=x
x=93.851351351351

now we have:
27.78 is 93.851351351351% of 29.6