202.88 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 202.88 of the output value, so we can write it down as x%=202.88.
5. Now we have two simple equations:
1) 100%=303
2) x%=202.88
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%=303/202.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 202.88 is what percent of 303

100%/x%=303/202.88
(100/x)*x=(303/202.88)*x       - we multiply both sides of the equation by x
100=1.4934936908517*x       - we divide both sides of the equation by (1.4934936908517) to get x
100/1.4934936908517=x
66.957095709571=x
x=66.957095709571

now we have:
202.88 is 66.957095709571% of 303