297.9 is what percent of 296.5 - 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 296.5 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 296.5, so we can write it down as 100%=296.5.
4. We know, that x% equals 297.9 of the output value, so we can write it down as x%=297.9.
5. Now we have two simple equations:
1) 100%=296.5
2) x%=297.9
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%=296.5/297.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 297.9 is what percent of 296.5

100%/x%=296.5/297.9
(100/x)*x=(296.5/297.9)*x       - we multiply both sides of the equation by x
100=0.99530043638805*x       - we divide both sides of the equation by (0.99530043638805) to get x
100/0.99530043638805=x
100.47217537943=x
x=100.47217537943

now we have:
297.9 is 100.47217537943% of 296.5