293.58 is what percent of 318 - 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 318 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 318, so we can write it down as 100%=318.
4. We know, that x% equals 293.58 of the output value, so we can write it down as x%=293.58.
5. Now we have two simple equations:
1) 100%=318
2) x%=293.58
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%=318/293.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 293.58 is what percent of 318

100%/x%=318/293.58
(100/x)*x=(318/293.58)*x       - we multiply both sides of the equation by x
100=1.0831800531371*x       - we divide both sides of the equation by (1.0831800531371) to get x
100/1.0831800531371=x
92.320754716981=x
x=92.320754716981

now we have:
293.58 is 92.320754716981% of 318