What is 150 percent of 30.75 - 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 30.75 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 30.75 is 100%, so we can write it down as 30.75=100%.
4. We know, that x is 150% of the output value, so we can write it down as x=150%.
5. Now we have two simple equations:
1) 30.75=100%
2) x=150%
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:
30.75/x=100%/150%
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 150% of 30.75

30.75/x=100/150
(30.75/x)*x=(100/150)*x       - we multiply both sides of the equation by x
30.75=0.66666666666667*x       - we divide both sides of the equation by (0.66666666666667) to get x
30.75/0.66666666666667=x
46.125=x
x=46.125

now we have:
150% of 30.75=46.125