200.5 is what percent of 303 - 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 303 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 303, so we can write it down as 100%=303.
4. We know, that x% equals 200.5 of the output value, so we can write it down as x%=200.5.
5. Now we have two simple equations:
1) 100%=303
2) x%=200.5
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%=303/200.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 200.5 is what percent of 303

100%/x%=303/200.5
(100/x)*x=(303/200.5)*x       - we multiply both sides of the equation by x
100=1.5112219451372*x       - we divide both sides of the equation by (1.5112219451372) to get x
100/1.5112219451372=x
66.171617161716=x
x=66.171617161716

now we have:
200.5 is 66.171617161716% of 303