292.4 is what percent of 3113 - 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 3113 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 3113, so we can write it down as 100%=3113.
4. We know, that x% equals 292.4 of the output value, so we can write it down as x%=292.4.
5. Now we have two simple equations:
1) 100%=3113
2) x%=292.4
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%=3113/292.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 292.4 is what percent of 3113

100%/x%=3113/292.4
(100/x)*x=(3113/292.4)*x       - we multiply both sides of the equation by x
100=10.646374829001*x       - we divide both sides of the equation by (10.646374829001) to get x
100/10.646374829001=x
9.3928686154835=x
x=9.3928686154835

now we have:
292.4 is 9.3928686154835% of 3113