500.09 is what percent of 3507 - 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 3507 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 3507, so we can write it down as 100%=3507.
4. We know, that x% equals 500.09 of the output value, so we can write it down as x%=500.09.
5. Now we have two simple equations:
1) 100%=3507
2) x%=500.09
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%=3507/500.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 500.09 is what percent of 3507

100%/x%=3507/500.09
(100/x)*x=(3507/500.09)*x       - we multiply both sides of the equation by x
100=7.0127377072127*x       - we divide both sides of the equation by (7.0127377072127) to get x
100/7.0127377072127=x
14.259766181922=x
x=14.259766181922

now we have:
500.09 is 14.259766181922% of 3507