What is 9.36 percent of 42.745 - 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 42.745 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 42.745 is 100%, so we can write it down as 42.745=100%.
4. We know, that x is 9.36% of the output value, so we can write it down as x=9.36%.
5. Now we have two simple equations:
1) 42.745=100%
2) x=9.36%
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:
42.745/x=100%/9.36%
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 9.36% of 42.745

42.745/x=100/9.36
(42.745/x)*x=(100/9.36)*x       - we multiply both sides of the equation by x
42.745=10.683760683761*x       - we divide both sides of the equation by (10.683760683761) to get x
42.745/10.683760683761=x
4.000932=x
x=4.000932

now we have:
9.36% of 42.745=4.000932