What is 9.0779 percent of 49.6524 - 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 49.6524 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 49.6524 is 100%, so we can write it down as 49.6524=100%.
4. We know, that x is 9.0779% of the output value, so we can write it down as x=9.0779%.
5. Now we have two simple equations:
1) 49.6524=100%
2) x=9.0779%
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:
49.6524/x=100%/9.0779%
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 9.0779% of 49.6524

49.6524/x=100/9.0779
(49.6524/x)*x=(100/9.0779)*x       - we multiply both sides of the equation by x
49.6524=11.015763557651*x       - we divide both sides of the equation by (11.015763557651) to get x
49.6524/11.015763557651=x
4.5073952196=x
x=4.5073952196

now we have:
9.0779% of 49.6524=4.5073952196