17.59 is what percent of 233.19 - 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 233.19 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 233.19, so we can write it down as 100%=233.19.
4. We know, that x% equals 17.59 of the output value, so we can write it down as x%=17.59.
5. Now we have two simple equations:
1) 100%=233.19
2) x%=17.59
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%=233.19/17.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.59 is what percent of 233.19

100%/x%=233.19/17.59
(100/x)*x=(233.19/17.59)*x       - we multiply both sides of the equation by x
100=13.256964184196*x       - we divide both sides of the equation by (13.256964184196) to get x
100/13.256964184196=x
7.5432051117115=x
x=7.5432051117115

now we have:
17.59 is 7.5432051117115% of 233.19