12 is what percent of 5050 - 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 5050 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 5050, so we can write it down as 100%=5050.
4. We know, that x% equals 12 of the output value, so we can write it down as x%=12.
5. Now we have two simple equations:
1) 100%=5050
2) x%=12
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%=5050/12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12 is what percent of 5050

100%/x%=5050/12
(100/x)*x=(5050/12)*x       - we multiply both sides of the equation by x
100=420.83333333333*x       - we divide both sides of the equation by (420.83333333333) to get x
100/420.83333333333=x
0.23762376237624=x
x=0.23762376237624

now we have:
12 is 0.23762376237624% of 5050