315.99 is what percent of 499.89 - 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 499.89 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 499.89, so we can write it down as 100%=499.89.
4. We know, that x% equals 315.99 of the output value, so we can write it down as x%=315.99.
5. Now we have two simple equations:
1) 100%=499.89
2) x%=315.99
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%=499.89/315.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 315.99 is what percent of 499.89

100%/x%=499.89/315.99
(100/x)*x=(499.89/315.99)*x       - we multiply both sides of the equation by x
100=1.5819804424191*x       - we divide both sides of the equation by (1.5819804424191) to get x
100/1.5819804424191=x
63.211906619456=x
x=63.211906619456

now we have:
315.99 is 63.211906619456% of 499.89