2.65 is what percent of 2509.6 - 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 2509.6 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 2509.6, so we can write it down as 100%=2509.6.
4. We know, that x% equals 2.65 of the output value, so we can write it down as x%=2.65.
5. Now we have two simple equations:
1) 100%=2509.6
2) x%=2.65
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%=2509.6/2.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.65 is what percent of 2509.6

100%/x%=2509.6/2.65
(100/x)*x=(2509.6/2.65)*x       - we multiply both sides of the equation by x
100=947.01886792453*x       - we divide both sides of the equation by (947.01886792453) to get x
100/947.01886792453=x
0.10559451705451=x
x=0.10559451705451

now we have:
2.65 is 0.10559451705451% of 2509.6