437.1 is what percent of 522.3 - 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 522.3 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 522.3, so we can write it down as 100%=522.3.
4. We know, that x% equals 437.1 of the output value, so we can write it down as x%=437.1.
5. Now we have two simple equations:
1) 100%=522.3
2) x%=437.1
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%=522.3/437.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 437.1 is what percent of 522.3

100%/x%=522.3/437.1
(100/x)*x=(522.3/437.1)*x       - we multiply both sides of the equation by x
100=1.1949210706932*x       - we divide both sides of the equation by (1.1949210706932) to get x
100/1.1949210706932=x
83.687535898909=x
x=83.687535898909

now we have:
437.1 is 83.687535898909% of 522.3