288.22 is what percent of 5305.07 - 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 5305.07 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 5305.07, so we can write it down as 100%=5305.07.
4. We know, that x% equals 288.22 of the output value, so we can write it down as x%=288.22.
5. Now we have two simple equations:
1) 100%=5305.07
2) x%=288.22
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%=5305.07/288.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 288.22 is what percent of 5305.07

100%/x%=5305.07/288.22
(100/x)*x=(5305.07/288.22)*x       - we multiply both sides of the equation by x
100=18.40632155992*x       - we divide both sides of the equation by (18.40632155992) to get x
100/18.40632155992=x
5.432916059543=x
x=5.432916059543

now we have:
288.22 is 5.432916059543% of 5305.07