395.98 is what percent of 3169 - 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 3169 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 3169, so we can write it down as 100%=3169.
4. We know, that x% equals 395.98 of the output value, so we can write it down as x%=395.98.
5. Now we have two simple equations:
1) 100%=3169
2) x%=395.98
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%=3169/395.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 395.98 is what percent of 3169

100%/x%=3169/395.98
(100/x)*x=(3169/395.98)*x       - we multiply both sides of the equation by x
100=8.0029294408809*x       - we divide both sides of the equation by (8.0029294408809) to get x
100/8.0029294408809=x
12.495424424109=x
x=12.495424424109

now we have:
395.98 is 12.495424424109% of 3169