315.5 is what percent of 5969 - 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 5969 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 5969, so we can write it down as 100%=5969.
4. We know, that x% equals 315.5 of the output value, so we can write it down as x%=315.5.
5. Now we have two simple equations:
1) 100%=5969
2) x%=315.5
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%=5969/315.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 315.5 is what percent of 5969

100%/x%=5969/315.5
(100/x)*x=(5969/315.5)*x       - we multiply both sides of the equation by x
100=18.919175911252*x       - we divide both sides of the equation by (18.919175911252) to get x
100/18.919175911252=x
5.2856424861786=x
x=5.2856424861786

now we have:
315.5 is 5.2856424861786% of 5969