2.65 is what percent of 102.15 - 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 102.15 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 102.15, so we can write it down as 100%=102.15.
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%=102.15
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%=102.15/2.65
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 102.15

100%/x%=102.15/2.65
(100/x)*x=(102.15/2.65)*x       - we multiply both sides of the equation by x
100=38.547169811321*x       - we divide both sides of the equation by (38.547169811321) to get x
100/38.547169811321=x
2.5942241801273=x
x=2.5942241801273

now we have:
2.65 is 2.5942241801273% of 102.15