What is 118 percent of 40.78 - 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 40.78 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 40.78 is 100%, so we can write it down as 40.78=100%.
4. We know, that x is 118% of the output value, so we can write it down as x=118%.
5. Now we have two simple equations:
1) 40.78=100%
2) x=118%
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:
40.78/x=100%/118%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 118% of 40.78

40.78/x=100/118
(40.78/x)*x=(100/118)*x       - we multiply both sides of the equation by x
40.78=0.84745762711864*x       - we divide both sides of the equation by (0.84745762711864) to get x
40.78/0.84745762711864=x
48.1204=x
x=48.1204

now we have:
118% of 40.78=48.1204