421.2 is what percent of 505 - 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 505 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 505, so we can write it down as 100%=505.
4. We know, that x% equals 421.2 of the output value, so we can write it down as x%=421.2.
5. Now we have two simple equations:
1) 100%=505
2) x%=421.2
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%=505/421.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 421.2 is what percent of 505

100%/x%=505/421.2
(100/x)*x=(505/421.2)*x       - we multiply both sides of the equation by x
100=1.198955365622*x       - we divide both sides of the equation by (1.198955365622) to get x
100/1.198955365622=x
83.405940594059=x
x=83.405940594059

now we have:
421.2 is 83.405940594059% of 505