437.18 is what percent of 540.2 - 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 540.2 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 540.2, so we can write it down as 100%=540.2.
4. We know, that x% equals 437.18 of the output value, so we can write it down as x%=437.18.
5. Now we have two simple equations:
1) 100%=540.2
2) x%=437.18
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%=540.2/437.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 437.18 is what percent of 540.2

100%/x%=540.2/437.18
(100/x)*x=(540.2/437.18)*x       - we multiply both sides of the equation by x
100=1.2356466444028*x       - we divide both sides of the equation by (1.2356466444028) to get x
100/1.2356466444028=x
80.929285449833=x
x=80.929285449833

now we have:
437.18 is 80.929285449833% of 540.2