12.11 is what percent of 5000 - 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 5000 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 5000, so we can write it down as 100%=5000.
4. We know, that x% equals 12.11 of the output value, so we can write it down as x%=12.11.
5. Now we have two simple equations:
1) 100%=5000
2) x%=12.11
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%=5000/12.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.11 is what percent of 5000

100%/x%=5000/12.11
(100/x)*x=(5000/12.11)*x       - we multiply both sides of the equation by x
100=412.88191577209*x       - we divide both sides of the equation by (412.88191577209) to get x
100/412.88191577209=x
0.2422=x
x=0.2422

now we have:
12.11 is 0.2422% of 5000