463.62 is what percent of 5115.97 - 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 5115.97 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 5115.97, so we can write it down as 100%=5115.97.
4. We know, that x% equals 463.62 of the output value, so we can write it down as x%=463.62.
5. Now we have two simple equations:
1) 100%=5115.97
2) x%=463.62
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%=5115.97/463.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 463.62 is what percent of 5115.97

100%/x%=5115.97/463.62
(100/x)*x=(5115.97/463.62)*x       - we multiply both sides of the equation by x
100=11.034834562788*x       - we divide both sides of the equation by (11.034834562788) to get x
100/11.034834562788=x
9.0622110762964=x
x=9.0622110762964

now we have:
463.62 is 9.0622110762964% of 5115.97