3.5 is what percent of 506.69 - 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 506.69 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 506.69, so we can write it down as 100%=506.69.
4. We know, that x% equals 3.5 of the output value, so we can write it down as x%=3.5.
5. Now we have two simple equations:
1) 100%=506.69
2) x%=3.5
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%=506.69/3.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.5 is what percent of 506.69

100%/x%=506.69/3.5
(100/x)*x=(506.69/3.5)*x       - we multiply both sides of the equation by x
100=144.76857142857*x       - we divide both sides of the equation by (144.76857142857) to get x
100/144.76857142857=x
0.69075766247607=x
x=0.69075766247607

now we have:
3.5 is 0.69075766247607% of 506.69