417.6 is what percent of 509 - 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 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, so we can write it down as 100%=509.
4. We know, that x% equals 417.6 of the output value, so we can write it down as x%=417.6.
5. Now we have two simple equations:
1) 100%=509
2) x%=417.6
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%=509/417.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 417.6 is what percent of 509

100%/x%=509/417.6
(100/x)*x=(509/417.6)*x       - we multiply both sides of the equation by x
100=1.2188697318008*x       - we divide both sides of the equation by (1.2188697318008) to get x
100/1.2188697318008=x
82.043222003929=x
x=82.043222003929

now we have:
417.6 is 82.043222003929% of 509