100.69 is what percent of 2800 - 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 2800 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 2800, so we can write it down as 100%=2800.
4. We know, that x% equals 100.69 of the output value, so we can write it down as x%=100.69.
5. Now we have two simple equations:
1) 100%=2800
2) x%=100.69
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%=2800/100.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.69 is what percent of 2800

100%/x%=2800/100.69
(100/x)*x=(2800/100.69)*x       - we multiply both sides of the equation by x
100=27.808123944781*x       - we divide both sides of the equation by (27.808123944781) to get x
100/27.808123944781=x
3.5960714285714=x
x=3.5960714285714

now we have:
100.69 is 3.5960714285714% of 2800