17.94 is what percent of 262.75 - 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 262.75 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 262.75, so we can write it down as 100%=262.75.
4. We know, that x% equals 17.94 of the output value, so we can write it down as x%=17.94.
5. Now we have two simple equations:
1) 100%=262.75
2) x%=17.94
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%=262.75/17.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.94 is what percent of 262.75

100%/x%=262.75/17.94
(100/x)*x=(262.75/17.94)*x       - we multiply both sides of the equation by x
100=14.646042363434*x       - we divide both sides of the equation by (14.646042363434) to get x
100/14.646042363434=x
6.8277830637488=x
x=6.8277830637488

now we have:
17.94 is 6.8277830637488% of 262.75