515.7 is what percent of 4130.2 - 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 4130.2 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 4130.2, so we can write it down as 100%=4130.2.
4. We know, that x% equals 515.7 of the output value, so we can write it down as x%=515.7.
5. Now we have two simple equations:
1) 100%=4130.2
2) x%=515.7
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%=4130.2/515.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 515.7 is what percent of 4130.2

100%/x%=4130.2/515.7
(100/x)*x=(4130.2/515.7)*x       - we multiply both sides of the equation by x
100=8.00891991468*x       - we divide both sides of the equation by (8.00891991468) to get x
100/8.00891991468=x
12.486078156=x
x=12.486078156

now we have:
515.7 is 12.486078156% of 4130.2