10.78 is what percent of 12.05 - 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 12.05 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 12.05, so we can write it down as 100%=12.05.
4. We know, that x% equals 10.78 of the output value, so we can write it down as x%=10.78.
5. Now we have two simple equations:
1) 100%=12.05
2) x%=10.78
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%=12.05/10.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.78 is what percent of 12.05

100%/x%=12.05/10.78
(100/x)*x=(12.05/10.78)*x       - we multiply both sides of the equation by x
100=1.1178107606679*x       - we divide both sides of the equation by (1.1178107606679) to get x
100/1.1178107606679=x
89.460580912863=x
x=89.460580912863

now we have:
10.78 is 89.460580912863% of 12.05