What is 144 percent of 45.75 - 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 45.75 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 45.75 is 100%, so we can write it down as 45.75=100%.
4. We know, that x is 144% of the output value, so we can write it down as x=144%.
5. Now we have two simple equations:
1) 45.75=100%
2) x=144%
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:
45.75/x=100%/144%
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 144% of 45.75

45.75/x=100/144
(45.75/x)*x=(100/144)*x       - we multiply both sides of the equation by x
45.75=0.69444444444444*x       - we divide both sides of the equation by (0.69444444444444) to get x
45.75/0.69444444444444=x
65.88=x
x=65.88

now we have:
144% of 45.75=65.88