199.7 is what percent of 209.7 - 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 209.7 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 209.7, so we can write it down as 100%=209.7.
4. We know, that x% equals 199.7 of the output value, so we can write it down as x%=199.7.
5. Now we have two simple equations:
1) 100%=209.7
2) x%=199.7
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%=209.7/199.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 199.7 is what percent of 209.7

100%/x%=209.7/199.7
(100/x)*x=(209.7/199.7)*x       - we multiply both sides of the equation by x
100=1.050075112669*x       - we divide both sides of the equation by (1.050075112669) to get x
100/1.050075112669=x
95.231282784931=x
x=95.231282784931

now we have:
199.7 is 95.231282784931% of 209.7