2.65 is what percent of 14.57 - 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 14.57 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 14.57, so we can write it down as 100%=14.57.
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%=14.57
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%=14.57/2.65
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 14.57

100%/x%=14.57/2.65
(100/x)*x=(14.57/2.65)*x       - we multiply both sides of the equation by x
100=5.4981132075472*x       - we divide both sides of the equation by (5.4981132075472) to get x
100/5.4981132075472=x
18.188057652711=x
x=18.188057652711

now we have:
2.65 is 18.188057652711% of 14.57