65 is what percent of 513.96 - 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 513.96 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 513.96, so we can write it down as 100%=513.96.
4. We know, that x% equals 65 of the output value, so we can write it down as x%=65.
5. Now we have two simple equations:
1) 100%=513.96
2) x%=65
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%=513.96/65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65 is what percent of 513.96

100%/x%=513.96/65
(100/x)*x=(513.96/65)*x       - we multiply both sides of the equation by x
100=7.9070769230769*x       - we divide both sides of the equation by (7.9070769230769) to get x
100/7.9070769230769=x
12.64689859133=x
x=12.64689859133

now we have:
65 is 12.64689859133% of 513.96