9.29 is what percent of 290.76 - 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 290.76 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 290.76, so we can write it down as 100%=290.76.
4. We know, that x% equals 9.29 of the output value, so we can write it down as x%=9.29.
5. Now we have two simple equations:
1) 100%=290.76
2) x%=9.29
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%=290.76/9.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.29 is what percent of 290.76

100%/x%=290.76/9.29
(100/x)*x=(290.76/9.29)*x       - we multiply both sides of the equation by x
100=31.29817007535*x       - we divide both sides of the equation by (31.29817007535) to get x
100/31.29817007535=x
3.1950749759252=x
x=3.1950749759252

now we have:
9.29 is 3.1950749759252% of 290.76