179.97 is what percent of 199.6 - 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 199.6 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 199.6, so we can write it down as 100%=199.6.
4. We know, that x% equals 179.97 of the output value, so we can write it down as x%=179.97.
5. Now we have two simple equations:
1) 100%=199.6
2) x%=179.97
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%=199.6/179.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 179.97 is what percent of 199.6

100%/x%=199.6/179.97
(100/x)*x=(199.6/179.97)*x       - we multiply both sides of the equation by x
100=1.1090737345113*x       - we divide both sides of the equation by (1.1090737345113) to get x
100/1.1090737345113=x
90.165330661323=x
x=90.165330661323

now we have:
179.97 is 90.165330661323% of 199.6