199.5 is what percent of 212.5 - 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 212.5 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 212.5, so we can write it down as 100%=212.5.
4. We know, that x% equals 199.5 of the output value, so we can write it down as x%=199.5.
5. Now we have two simple equations:
1) 100%=212.5
2) x%=199.5
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%=212.5/199.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 199.5 is what percent of 212.5

100%/x%=212.5/199.5
(100/x)*x=(212.5/199.5)*x       - we multiply both sides of the equation by x
100=1.0651629072682*x       - we divide both sides of the equation by (1.0651629072682) to get x
100/1.0651629072682=x
93.882352941176=x
x=93.882352941176

now we have:
199.5 is 93.882352941176% of 212.5