199.75 is what percent of 421.71 - 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 421.71 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 421.71, so we can write it down as 100%=421.71.
4. We know, that x% equals 199.75 of the output value, so we can write it down as x%=199.75.
5. Now we have two simple equations:
1) 100%=421.71
2) x%=199.75
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%=421.71/199.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 199.75 is what percent of 421.71

100%/x%=421.71/199.75
(100/x)*x=(421.71/199.75)*x       - we multiply both sides of the equation by x
100=2.1111889862328*x       - we divide both sides of the equation by (2.1111889862328) to get x
100/2.1111889862328=x
47.36667378056=x
x=47.36667378056

now we have:
199.75 is 47.36667378056% of 421.71