146.3 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 146.3 of the output value, so we can write it down as x%=146.3.
5. Now we have two simple equations:
1) 100%=305
2) x%=146.3
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%=305/146.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 146.3 is what percent of 305

100%/x%=305/146.3
(100/x)*x=(305/146.3)*x       - we multiply both sides of the equation by x
100=2.0847573479152*x       - we divide both sides of the equation by (2.0847573479152) to get x
100/2.0847573479152=x
47.967213114754=x
x=47.967213114754

now we have:
146.3 is 47.967213114754% of 305