29.6 is what percent of 179.6 - 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 179.6 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 179.6, so we can write it down as 100%=179.6.
4. We know, that x% equals 29.6 of the output value, so we can write it down as x%=29.6.
5. Now we have two simple equations:
1) 100%=179.6
2) x%=29.6
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%=179.6/29.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.6 is what percent of 179.6

100%/x%=179.6/29.6
(100/x)*x=(179.6/29.6)*x       - we multiply both sides of the equation by x
100=6.0675675675676*x       - we divide both sides of the equation by (6.0675675675676) to get x
100/6.0675675675676=x
16.481069042316=x
x=16.481069042316

now we have:
29.6 is 16.481069042316% of 179.6