17.83 is what percent of 259.25 - 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 259.25 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 259.25, so we can write it down as 100%=259.25.
4. We know, that x% equals 17.83 of the output value, so we can write it down as x%=17.83.
5. Now we have two simple equations:
1) 100%=259.25
2) x%=17.83
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%=259.25/17.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.83 is what percent of 259.25

100%/x%=259.25/17.83
(100/x)*x=(259.25/17.83)*x       - we multiply both sides of the equation by x
100=14.540100953449*x       - we divide both sides of the equation by (14.540100953449) to get x
100/14.540100953449=x
6.877531340405=x
x=6.877531340405

now we have:
17.83 is 6.877531340405% of 259.25