675.66 is what percent of 12990 - 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 12990 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 12990, so we can write it down as 100%=12990.
4. We know, that x% equals 675.66 of the output value, so we can write it down as x%=675.66.
5. Now we have two simple equations:
1) 100%=12990
2) x%=675.66
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%=12990/675.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 675.66 is what percent of 12990

100%/x%=12990/675.66
(100/x)*x=(12990/675.66)*x       - we multiply both sides of the equation by x
100=19.225646034988*x       - we divide both sides of the equation by (19.225646034988) to get x
100/19.225646034988=x
5.2013856812933=x
x=5.2013856812933

now we have:
675.66 is 5.2013856812933% of 12990