1.2 is what percent of 30.77 - 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 30.77 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 30.77, so we can write it down as 100%=30.77.
4. We know, that x% equals 1.2 of the output value, so we can write it down as x%=1.2.
5. Now we have two simple equations:
1) 100%=30.77
2) x%=1.2
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%=30.77/1.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.2 is what percent of 30.77

100%/x%=30.77/1.2
(100/x)*x=(30.77/1.2)*x       - we multiply both sides of the equation by x
100=25.641666666667*x       - we divide both sides of the equation by (25.641666666667) to get x
100/25.641666666667=x
3.8999025024374=x
x=3.8999025024374

now we have:
1.2 is 3.8999025024374% of 30.77