319.44 is what percent of 1560.24 - 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 1560.24 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 1560.24, so we can write it down as 100%=1560.24.
4. We know, that x% equals 319.44 of the output value, so we can write it down as x%=319.44.
5. Now we have two simple equations:
1) 100%=1560.24
2) x%=319.44
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%=1560.24/319.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 319.44 is what percent of 1560.24

100%/x%=1560.24/319.44
(100/x)*x=(1560.24/319.44)*x       - we multiply both sides of the equation by x
100=4.8842975206612*x       - we divide both sides of the equation by (4.8842975206612) to get x
100/4.8842975206612=x
20.473773265651=x
x=20.473773265651

now we have:
319.44 is 20.473773265651% of 1560.24