493.16 is what percent of 1680.36 - 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 1680.36 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 1680.36, so we can write it down as 100%=1680.36.
4. We know, that x% equals 493.16 of the output value, so we can write it down as x%=493.16.
5. Now we have two simple equations:
1) 100%=1680.36
2) x%=493.16
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%=1680.36/493.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 493.16 is what percent of 1680.36

100%/x%=1680.36/493.16
(100/x)*x=(1680.36/493.16)*x       - we multiply both sides of the equation by x
100=3.4073323059453*x       - we divide both sides of the equation by (3.4073323059453) to get x
100/3.4073323059453=x
29.348472946273=x
x=29.348472946273

now we have:
493.16 is 29.348472946273% of 1680.36