9.56 is what percent of 296.73 - 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 296.73 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 296.73, so we can write it down as 100%=296.73.
4. We know, that x% equals 9.56 of the output value, so we can write it down as x%=9.56.
5. Now we have two simple equations:
1) 100%=296.73
2) x%=9.56
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%=296.73/9.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.56 is what percent of 296.73

100%/x%=296.73/9.56
(100/x)*x=(296.73/9.56)*x       - we multiply both sides of the equation by x
100=31.03870292887*x       - we divide both sides of the equation by (31.03870292887) to get x
100/31.03870292887=x
3.2217841135039=x
x=3.2217841135039

now we have:
9.56 is 3.2217841135039% of 296.73