What is 99.6 percent of 617.5 - 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 617.5 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 617.5 is 100%, so we can write it down as 617.5=100%.
4. We know, that x is 99.6% of the output value, so we can write it down as x=99.6%.
5. Now we have two simple equations:
1) 617.5=100%
2) x=99.6%
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:
617.5/x=100%/99.6%
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 99.6% of 617.5

617.5/x=100/99.6
(617.5/x)*x=(100/99.6)*x       - we multiply both sides of the equation by x
617.5=1.004016064257*x       - we divide both sides of the equation by (1.004016064257) to get x
617.5/1.004016064257=x
615.03=x
x=615.03

now we have:
99.6% of 617.5=615.03