501.67 is what percent of 1733.13 - 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 1733.13 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 1733.13, so we can write it down as 100%=1733.13.
4. We know, that x% equals 501.67 of the output value, so we can write it down as x%=501.67.
5. Now we have two simple equations:
1) 100%=1733.13
2) x%=501.67
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%=1733.13/501.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 501.67 is what percent of 1733.13

100%/x%=1733.13/501.67
(100/x)*x=(1733.13/501.67)*x       - we multiply both sides of the equation by x
100=3.4547212310882*x       - we divide both sides of the equation by (3.4547212310882) to get x
100/3.4547212310882=x
28.945895576212=x
x=28.945895576212

now we have:
501.67 is 28.945895576212% of 1733.13