5 is what percent of 31.61 - 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 31.61 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 31.61, so we can write it down as 100%=31.61.
4. We know, that x% equals 5 of the output value, so we can write it down as x%=5.
5. Now we have two simple equations:
1) 100%=31.61
2) x%=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%=31.61/5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5 is what percent of 31.61

100%/x%=31.61/5
(100/x)*x=(31.61/5)*x       - we multiply both sides of the equation by x
100=6.322*x       - we divide both sides of the equation by (6.322) to get x
100/6.322=x
15.817779183803=x
x=15.817779183803

now we have:
5 is 15.817779183803% of 31.61