497.86 is what percent of 15136.24 - 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 15136.24 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 15136.24, so we can write it down as 100%=15136.24.
4. We know, that x% equals 497.86 of the output value, so we can write it down as x%=497.86.
5. Now we have two simple equations:
1) 100%=15136.24
2) x%=497.86
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%=15136.24/497.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 497.86 is what percent of 15136.24

100%/x%=15136.24/497.86
(100/x)*x=(15136.24/497.86)*x       - we multiply both sides of the equation by x
100=30.402603141445*x       - we divide both sides of the equation by (30.402603141445) to get x
100/30.402603141445=x
3.2891920318388=x
x=3.2891920318388

now we have:
497.86 is 3.2891920318388% of 15136.24