5 is what percent of 3112 - 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 3112 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 3112, so we can write it down as 100%=3112.
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%=3112
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%=3112/5
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 3112

100%/x%=3112/5
(100/x)*x=(3112/5)*x       - we multiply both sides of the equation by x
100=622.4*x       - we divide both sides of the equation by (622.4) to get x
100/622.4=x
0.16066838046272=x
x=0.16066838046272

now we have:
5 is 0.16066838046272% of 3112