What is 45.36 percent of 7.734 - 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 7.734 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 7.734 is 100%, so we can write it down as 7.734=100%.
4. We know, that x is 45.36% of the output value, so we can write it down as x=45.36%.
5. Now we have two simple equations:
1) 7.734=100%
2) x=45.36%
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:
7.734/x=100%/45.36%
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 45.36% of 7.734

7.734/x=100/45.36
(7.734/x)*x=(100/45.36)*x       - we multiply both sides of the equation by x
7.734=2.2045855379189*x       - we divide both sides of the equation by (2.2045855379189) to get x
7.734/2.2045855379189=x
3.5081424=x
x=3.5081424

now we have:
45.36% of 7.734=3.5081424