507.82 is what percent of 3190.45 - 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 3190.45 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 3190.45, so we can write it down as 100%=3190.45.
4. We know, that x% equals 507.82 of the output value, so we can write it down as x%=507.82.
5. Now we have two simple equations:
1) 100%=3190.45
2) x%=507.82
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%=3190.45/507.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 507.82 is what percent of 3190.45

100%/x%=3190.45/507.82
(100/x)*x=(3190.45/507.82)*x       - we multiply both sides of the equation by x
100=6.2826395179394*x       - we divide both sides of the equation by (6.2826395179394) to get x
100/6.2826395179394=x
15.916876929587=x
x=15.916876929587

now we have:
507.82 is 15.916876929587% of 3190.45