151.8 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 151.8 of the output value, so we can write it down as x%=151.8.
5. Now we have two simple equations:
1) 100%=305
2) x%=151.8
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%=305/151.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 151.8 is what percent of 305

100%/x%=305/151.8
(100/x)*x=(305/151.8)*x       - we multiply both sides of the equation by x
100=2.0092226613966*x       - we divide both sides of the equation by (2.0092226613966) to get x
100/2.0092226613966=x
49.770491803279=x
x=49.770491803279

now we have:
151.8 is 49.770491803279% of 305