515.17 is what percent of 3250 - 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 3250 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 3250, so we can write it down as 100%=3250.
4. We know, that x% equals 515.17 of the output value, so we can write it down as x%=515.17.
5. Now we have two simple equations:
1) 100%=3250
2) x%=515.17
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%=3250/515.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 515.17 is what percent of 3250

100%/x%=3250/515.17
(100/x)*x=(3250/515.17)*x       - we multiply both sides of the equation by x
100=6.3085971621018*x       - we divide both sides of the equation by (6.3085971621018) to get x
100/6.3085971621018=x
15.851384615385=x
x=15.851384615385

now we have:
515.17 is 15.851384615385% of 3250