288.24 is what percent of 2810.98 - 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 2810.98 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 2810.98, so we can write it down as 100%=2810.98.
4. We know, that x% equals 288.24 of the output value, so we can write it down as x%=288.24.
5. Now we have two simple equations:
1) 100%=2810.98
2) x%=288.24
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%=2810.98/288.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 288.24 is what percent of 2810.98

100%/x%=2810.98/288.24
(100/x)*x=(2810.98/288.24)*x       - we multiply both sides of the equation by x
100=9.7522203719123*x       - we divide both sides of the equation by (9.7522203719123) to get x
100/9.7522203719123=x
10.254075091249=x
x=10.254075091249

now we have:
288.24 is 10.254075091249% of 2810.98