314.99 is what percent of 499.99 - 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 499.99 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 499.99, so we can write it down as 100%=499.99.
4. We know, that x% equals 314.99 of the output value, so we can write it down as x%=314.99.
5. Now we have two simple equations:
1) 100%=499.99
2) x%=314.99
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%=499.99/314.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 314.99 is what percent of 499.99

100%/x%=499.99/314.99
(100/x)*x=(499.99/314.99)*x       - we multiply both sides of the equation by x
100=1.5873202323883*x       - we divide both sides of the equation by (1.5873202323883) to get x
100/1.5873202323883=x
62.9992599852=x
x=62.9992599852

now we have:
314.99 is 62.9992599852% of 499.99