524.79 is what percent of 3233.42 - 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 3233.42 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 3233.42, so we can write it down as 100%=3233.42.
4. We know, that x% equals 524.79 of the output value, so we can write it down as x%=524.79.
5. Now we have two simple equations:
1) 100%=3233.42
2) x%=524.79
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%=3233.42/524.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 524.79 is what percent of 3233.42

100%/x%=3233.42/524.79
(100/x)*x=(3233.42/524.79)*x       - we multiply both sides of the equation by x
100=6.161359782008*x       - we divide both sides of the equation by (6.161359782008) to get x
100/6.161359782008=x
16.230183520854=x
x=16.230183520854

now we have:
524.79 is 16.230183520854% of 3233.42