617.35 is what percent of 5175.85 - 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 5175.85 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 100% equals 5175.85, so we can write it down as 100%=5175.85.
4. We know, that x% equals 617.35 of the output value, so we can write it down as x%=617.35.
5. Now we have two simple equations:
1) 100%=5175.85
2) x%=617.35
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:
100%/x%=5175.85/617.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 617.35 is what percent of 5175.85

100%/x%=5175.85/617.35
(100/x)*x=(5175.85/617.35)*x       - we multiply both sides of the equation by x
100=8.3839799141492*x       - we divide both sides of the equation by (8.3839799141492) to get x
100/8.3839799141492=x
11.927509491195=x
x=11.927509491195

now we have:
617.35 is 11.927509491195% of 5175.85