12.69 is what percent of 67.98 - 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 67.98 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 67.98, so we can write it down as 100%=67.98.
4. We know, that x% equals 12.69 of the output value, so we can write it down as x%=12.69.
5. Now we have two simple equations:
1) 100%=67.98
2) x%=12.69
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%=67.98/12.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.69 is what percent of 67.98

100%/x%=67.98/12.69
(100/x)*x=(67.98/12.69)*x       - we multiply both sides of the equation by x
100=5.3569739952719*x       - we divide both sides of the equation by (5.3569739952719) to get x
100/5.3569739952719=x
18.667255075022=x
x=18.667255075022

now we have:
12.69 is 18.667255075022% of 67.98