294.5 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 294.5 of the output value, so we can write it down as x%=294.5.
5. Now we have two simple equations:
1) 100%=305
2) x%=294.5
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%=305/294.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 294.5 is what percent of 305

100%/x%=305/294.5
(100/x)*x=(305/294.5)*x       - we multiply both sides of the equation by x
100=1.0356536502547*x       - we divide both sides of the equation by (1.0356536502547) to get x
100/1.0356536502547=x
96.55737704918=x
x=96.55737704918

now we have:
294.5 is 96.55737704918% of 305