83 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 83 of the output value, so we can write it down as x%=83.
5. Now we have two simple equations:
1) 100%=509
2) x%=83
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%=509/83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83 is what percent of 509

100%/x%=509/83
(100/x)*x=(509/83)*x       - we multiply both sides of the equation by x
100=6.1325301204819*x       - we divide both sides of the equation by (6.1325301204819) to get x
100/6.1325301204819=x
16.306483300589=x
x=16.306483300589

now we have:
83 is 16.306483300589% of 509