What is 75 percent of 30.375 - 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 30.375 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 30.375 is 100%, so we can write it down as 30.375=100%.
4. We know, that x is 75% of the output value, so we can write it down as x=75%.
5. Now we have two simple equations:
1) 30.375=100%
2) x=75%
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:
30.375/x=100%/75%
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 75% of 30.375

30.375/x=100/75
(30.375/x)*x=(100/75)*x       - we multiply both sides of the equation by x
30.375=1.3333333333333*x       - we divide both sides of the equation by (1.3333333333333) to get x
30.375/1.3333333333333=x
22.78125=x
x=22.78125

now we have:
75% of 30.375=22.78125