285.6 is what percent of 293 - 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 293 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 293, so we can write it down as 100%=293.
4. We know, that x% equals 285.6 of the output value, so we can write it down as x%=285.6.
5. Now we have two simple equations:
1) 100%=293
2) x%=285.6
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%=293/285.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 285.6 is what percent of 293

100%/x%=293/285.6
(100/x)*x=(293/285.6)*x       - we multiply both sides of the equation by x
100=1.0259103641457*x       - we divide both sides of the equation by (1.0259103641457) to get x
100/1.0259103641457=x
97.474402730375=x
x=97.474402730375

now we have:
285.6 is 97.474402730375% of 293