384.55 is what percent of 513.5 - 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 513.5 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 513.5, so we can write it down as 100%=513.5.
4. We know, that x% equals 384.55 of the output value, so we can write it down as x%=384.55.
5. Now we have two simple equations:
1) 100%=513.5
2) x%=384.55
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%=513.5/384.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 384.55 is what percent of 513.5

100%/x%=513.5/384.55
(100/x)*x=(513.5/384.55)*x       - we multiply both sides of the equation by x
100=1.335327005591*x       - we divide both sides of the equation by (1.335327005591) to get x
100/1.335327005591=x
74.888023369036=x
x=74.888023369036

now we have:
384.55 is 74.888023369036% of 513.5