509.02 is what percent of 3447 - 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 3447 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 3447, so we can write it down as 100%=3447.
4. We know, that x% equals 509.02 of the output value, so we can write it down as x%=509.02.
5. Now we have two simple equations:
1) 100%=3447
2) x%=509.02
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%=3447/509.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 509.02 is what percent of 3447

100%/x%=3447/509.02
(100/x)*x=(3447/509.02)*x       - we multiply both sides of the equation by x
100=6.7718360771679*x       - we divide both sides of the equation by (6.7718360771679) to get x
100/6.7718360771679=x
14.767043806208=x
x=14.767043806208

now we have:
509.02 is 14.767043806208% of 3447