17.67 is what percent of 128.09 - 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 128.09 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 128.09, so we can write it down as 100%=128.09.
4. We know, that x% equals 17.67 of the output value, so we can write it down as x%=17.67.
5. Now we have two simple equations:
1) 100%=128.09
2) x%=17.67
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%=128.09/17.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.67 is what percent of 128.09

100%/x%=128.09/17.67
(100/x)*x=(128.09/17.67)*x       - we multiply both sides of the equation by x
100=7.2490096208263*x       - we divide both sides of the equation by (7.2490096208263) to get x
100/7.2490096208263=x
13.794987899133=x
x=13.794987899133

now we have:
17.67 is 13.794987899133% of 128.09