299.52 is what percent of 2695.02 - 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 2695.02 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 2695.02, so we can write it down as 100%=2695.02.
4. We know, that x% equals 299.52 of the output value, so we can write it down as x%=299.52.
5. Now we have two simple equations:
1) 100%=2695.02
2) x%=299.52
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%=2695.02/299.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 299.52 is what percent of 2695.02

100%/x%=2695.02/299.52
(100/x)*x=(2695.02/299.52)*x       - we multiply both sides of the equation by x
100=8.997796474359*x       - we divide both sides of the equation by (8.997796474359) to get x
100/8.997796474359=x
11.113832179353=x
x=11.113832179353

now we have:
299.52 is 11.113832179353% of 2695.02