2.65 is what percent of 17.65 - 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 17.65 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 17.65, so we can write it down as 100%=17.65.
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%=17.65
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%=17.65/2.65
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 17.65

100%/x%=17.65/2.65
(100/x)*x=(17.65/2.65)*x       - we multiply both sides of the equation by x
100=6.6603773584906*x       - we divide both sides of the equation by (6.6603773584906) to get x
100/6.6603773584906=x
15.014164305949=x
x=15.014164305949

now we have:
2.65 is 15.014164305949% of 17.65