What is 118.9 percent of 120 - 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 120 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 120 is 100%, so we can write it down as 120=100%.
4. We know, that x is 118.9% of the output value, so we can write it down as x=118.9%.
5. Now we have two simple equations:
1) 120=100%
2) x=118.9%
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:
120/x=100%/118.9%
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 118.9% of 120

120/x=100/118.9
(120/x)*x=(100/118.9)*x       - we multiply both sides of the equation by x
120=0.84104289318755*x       - we divide both sides of the equation by (0.84104289318755) to get x
120/0.84104289318755=x
142.68=x
x=142.68

now we have:
118.9% of 120=142.68