17.38 is what percent of 179.48 - 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 179.48 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 179.48, so we can write it down as 100%=179.48.
4. We know, that x% equals 17.38 of the output value, so we can write it down as x%=17.38.
5. Now we have two simple equations:
1) 100%=179.48
2) x%=17.38
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%=179.48/17.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.38 is what percent of 179.48

100%/x%=179.48/17.38
(100/x)*x=(179.48/17.38)*x       - we multiply both sides of the equation by x
100=10.326812428078*x       - we divide both sides of the equation by (10.326812428078) to get x
100/10.326812428078=x
9.6835301983508=x
x=9.6835301983508

now we have:
17.38 is 9.6835301983508% of 179.48