17.11 is what percent of 32.89 - 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 32.89 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 32.89, so we can write it down as 100%=32.89.
4. We know, that x% equals 17.11 of the output value, so we can write it down as x%=17.11.
5. Now we have two simple equations:
1) 100%=32.89
2) x%=17.11
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%=32.89/17.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.11 is what percent of 32.89

100%/x%=32.89/17.11
(100/x)*x=(32.89/17.11)*x       - we multiply both sides of the equation by x
100=1.9222676797195*x       - we divide both sides of the equation by (1.9222676797195) to get x
100/1.9222676797195=x
52.021891152326=x
x=52.021891152326

now we have:
17.11 is 52.021891152326% of 32.89