What is 118.67 percent of 55.99 - 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 55.99 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 55.99 is 100%, so we can write it down as 55.99=100%.
4. We know, that x is 118.67% of the output value, so we can write it down as x=118.67%.
5. Now we have two simple equations:
1) 55.99=100%
2) x=118.67%
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:
55.99/x=100%/118.67%
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 118.67% of 55.99

55.99/x=100/118.67
(55.99/x)*x=(100/118.67)*x       - we multiply both sides of the equation by x
55.99=0.84267295862476*x       - we divide both sides of the equation by (0.84267295862476) to get x
55.99/0.84267295862476=x
66.443333=x
x=66.443333

now we have:
118.67% of 55.99=66.443333