418.49 is what percent of 997.5 - 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 997.5 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 997.5, so we can write it down as 100%=997.5.
4. We know, that x% equals 418.49 of the output value, so we can write it down as x%=418.49.
5. Now we have two simple equations:
1) 100%=997.5
2) x%=418.49
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%=997.5/418.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 418.49 is what percent of 997.5

100%/x%=997.5/418.49
(100/x)*x=(997.5/418.49)*x       - we multiply both sides of the equation by x
100=2.3835694998686*x       - we divide both sides of the equation by (2.3835694998686) to get x
100/2.3835694998686=x
41.953884711779=x
x=41.953884711779

now we have:
418.49 is 41.953884711779% of 997.5