422.35 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 422.35 of the output value, so we can write it down as x%=422.35.
5. Now we have two simple equations:
1) 100%=509
2) x%=422.35
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%=509/422.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 422.35 is what percent of 509

100%/x%=509/422.35
(100/x)*x=(509/422.35)*x       - we multiply both sides of the equation by x
100=1.2051615958328*x       - we divide both sides of the equation by (1.2051615958328) to get x
100/1.2051615958328=x
82.976424361493=x
x=82.976424361493

now we have:
422.35 is 82.976424361493% of 509