17.28 is what percent of 26.58 - 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 26.58 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 26.58, so we can write it down as 100%=26.58.
4. We know, that x% equals 17.28 of the output value, so we can write it down as x%=17.28.
5. Now we have two simple equations:
1) 100%=26.58
2) x%=17.28
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%=26.58/17.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.28 is what percent of 26.58

100%/x%=26.58/17.28
(100/x)*x=(26.58/17.28)*x       - we multiply both sides of the equation by x
100=1.5381944444444*x       - we divide both sides of the equation by (1.5381944444444) to get x
100/1.5381944444444=x
65.011286681716=x
x=65.011286681716

now we have:
17.28 is 65.011286681716% of 26.58