17.69 is what percent of 179.5 - 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 179.5 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 179.5, so we can write it down as 100%=179.5.
4. We know, that x% equals 17.69 of the output value, so we can write it down as x%=17.69.
5. Now we have two simple equations:
1) 100%=179.5
2) x%=17.69
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%=179.5/17.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.69 is what percent of 179.5

100%/x%=179.5/17.69
(100/x)*x=(179.5/17.69)*x       - we multiply both sides of the equation by x
100=10.146975692482*x       - we divide both sides of the equation by (10.146975692482) to get x
100/10.146975692482=x
9.8551532033426=x
x=9.8551532033426

now we have:
17.69 is 9.8551532033426% of 179.5