303.98 is what percent of 422.5 - 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 422.5 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 422.5, so we can write it down as 100%=422.5.
4. We know, that x% equals 303.98 of the output value, so we can write it down as x%=303.98.
5. Now we have two simple equations:
1) 100%=422.5
2) x%=303.98
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%=422.5/303.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 303.98 is what percent of 422.5

100%/x%=422.5/303.98
(100/x)*x=(422.5/303.98)*x       - we multiply both sides of the equation by x
100=1.3898940719784*x       - we divide both sides of the equation by (1.3898940719784) to get x
100/1.3898940719784=x
71.947928994083=x
x=71.947928994083

now we have:
303.98 is 71.947928994083% of 422.5