320.75 is what percent of 509.75 - 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 509.75 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 509.75, so we can write it down as 100%=509.75.
4. We know, that x% equals 320.75 of the output value, so we can write it down as x%=320.75.
5. Now we have two simple equations:
1) 100%=509.75
2) x%=320.75
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%=509.75/320.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 320.75 is what percent of 509.75

100%/x%=509.75/320.75
(100/x)*x=(509.75/320.75)*x       - we multiply both sides of the equation by x
100=1.58924395947*x       - we divide both sides of the equation by (1.58924395947) to get x
100/1.58924395947=x
62.923001471309=x
x=62.923001471309

now we have:
320.75 is 62.923001471309% of 509.75