168.2 is what percent of 179.76 - 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 179.76 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 179.76, so we can write it down as 100%=179.76.
4. We know, that x% equals 168.2 of the output value, so we can write it down as x%=168.2.
5. Now we have two simple equations:
1) 100%=179.76
2) x%=168.2
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%=179.76/168.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 168.2 is what percent of 179.76

100%/x%=179.76/168.2
(100/x)*x=(179.76/168.2)*x       - we multiply both sides of the equation by x
100=1.068727705113*x       - we divide both sides of the equation by (1.068727705113) to get x
100/1.068727705113=x
93.569203382287=x
x=93.569203382287

now we have:
168.2 is 93.569203382287% of 179.76