577.2 is what percent of 805.9 - 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 805.9 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 805.9, so we can write it down as 100%=805.9.
4. We know, that x% equals 577.2 of the output value, so we can write it down as x%=577.2.
5. Now we have two simple equations:
1) 100%=805.9
2) x%=577.2
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%=805.9/577.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 577.2 is what percent of 805.9

100%/x%=805.9/577.2
(100/x)*x=(805.9/577.2)*x       - we multiply both sides of the equation by x
100=1.3962231462231*x       - we divide both sides of the equation by (1.3962231462231) to get x
100/1.3962231462231=x
71.621789303884=x
x=71.621789303884

now we have:
577.2 is 71.621789303884% of 805.9