437.2 is what percent of 509.9 - 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 509.9 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 509.9, so we can write it down as 100%=509.9.
4. We know, that x% equals 437.2 of the output value, so we can write it down as x%=437.2.
5. Now we have two simple equations:
1) 100%=509.9
2) x%=437.2
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%=509.9/437.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 437.2 is what percent of 509.9

100%/x%=509.9/437.2
(100/x)*x=(509.9/437.2)*x       - we multiply both sides of the equation by x
100=1.166285452882*x       - we divide both sides of the equation by (1.166285452882) to get x
100/1.166285452882=x
85.742302412238=x
x=85.742302412238

now we have:
437.2 is 85.742302412238% of 509.9