490.86 is what percent of 2540.69 - 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 2540.69 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 2540.69, so we can write it down as 100%=2540.69.
4. We know, that x% equals 490.86 of the output value, so we can write it down as x%=490.86.
5. Now we have two simple equations:
1) 100%=2540.69
2) x%=490.86
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%=2540.69/490.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 490.86 is what percent of 2540.69

100%/x%=2540.69/490.86
(100/x)*x=(2540.69/490.86)*x       - we multiply both sides of the equation by x
100=5.1759972293526*x       - we divide both sides of the equation by (5.1759972293526) to get x
100/5.1759972293526=x
19.319948517922=x
x=19.319948517922

now we have:
490.86 is 19.319948517922% of 2540.69