What is 75.96 percent of 40 - 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 40 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 40 is 100%, so we can write it down as 40=100%.
4. We know, that x is 75.96% of the output value, so we can write it down as x=75.96%.
5. Now we have two simple equations:
1) 40=100%
2) x=75.96%
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:
40/x=100%/75.96%
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 75.96% of 40

40/x=100/75.96
(40/x)*x=(100/75.96)*x       - we multiply both sides of the equation by x
40=1.3164823591364*x       - we divide both sides of the equation by (1.3164823591364) to get x
40/1.3164823591364=x
30.384=x
x=30.384

now we have:
75.96% of 40=30.384