65.09 is what percent of 305 - 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 305 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 305, so we can write it down as 100%=305.
4. We know, that x% equals 65.09 of the output value, so we can write it down as x%=65.09.
5. Now we have two simple equations:
1) 100%=305
2) x%=65.09
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%=305/65.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.09 is what percent of 305

100%/x%=305/65.09
(100/x)*x=(305/65.09)*x       - we multiply both sides of the equation by x
100=4.6858196343524*x       - we divide both sides of the equation by (4.6858196343524) to get x
100/4.6858196343524=x
21.340983606557=x
x=21.340983606557

now we have:
65.09 is 21.340983606557% of 305