What is 5.64 percent of 517.77 - 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 517.77 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 517.77 is 100%, so we can write it down as 517.77=100%.
4. We know, that x is 5.64% of the output value, so we can write it down as x=5.64%.
5. Now we have two simple equations:
1) 517.77=100%
2) x=5.64%
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:
517.77/x=100%/5.64%
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 5.64% of 517.77

517.77/x=100/5.64
(517.77/x)*x=(100/5.64)*x       - we multiply both sides of the equation by x
517.77=17.730496453901*x       - we divide both sides of the equation by (17.730496453901) to get x
517.77/17.730496453901=x
29.202228=x
x=29.202228

now we have:
5.64% of 517.77=29.202228