3.6 is what percent of 77.78 - 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 77.78 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 77.78, so we can write it down as 100%=77.78.
4. We know, that x% equals 3.6 of the output value, so we can write it down as x%=3.6.
5. Now we have two simple equations:
1) 100%=77.78
2) x%=3.6
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%=77.78/3.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.6 is what percent of 77.78

100%/x%=77.78/3.6
(100/x)*x=(77.78/3.6)*x       - we multiply both sides of the equation by x
100=21.605555555556*x       - we divide both sides of the equation by (21.605555555556) to get x
100/21.605555555556=x
4.6284391874518=x
x=4.6284391874518

now we have:
3.6 is 4.6284391874518% of 77.78