What is 98.64 percent of 515 - 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 515 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 515 is 100%, so we can write it down as 515=100%.
4. We know, that x is 98.64% of the output value, so we can write it down as x=98.64%.
5. Now we have two simple equations:
1) 515=100%
2) x=98.64%
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:
515/x=100%/98.64%
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 98.64% of 515

515/x=100/98.64
(515/x)*x=(100/98.64)*x       - we multiply both sides of the equation by x
515=1.0137875101379*x       - we divide both sides of the equation by (1.0137875101379) to get x
515/1.0137875101379=x
507.996=x
x=507.996

now we have:
98.64% of 515=507.996