92.09 is what percent of 306.98 - 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 306.98 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 306.98, so we can write it down as 100%=306.98.
4. We know, that x% equals 92.09 of the output value, so we can write it down as x%=92.09.
5. Now we have two simple equations:
1) 100%=306.98
2) x%=92.09
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%=306.98/92.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 92.09 is what percent of 306.98

100%/x%=306.98/92.09
(100/x)*x=(306.98/92.09)*x       - we multiply both sides of the equation by x
100=3.3334781192312*x       - we divide both sides of the equation by (3.3334781192312) to get x
100/3.3334781192312=x
29.998696983517=x
x=29.998696983517

now we have:
92.09 is 29.998696983517% of 306.98