409.1 is what percent of 572 - 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 572 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 572, so we can write it down as 100%=572.
4. We know, that x% equals 409.1 of the output value, so we can write it down as x%=409.1.
5. Now we have two simple equations:
1) 100%=572
2) x%=409.1
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%=572/409.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 409.1 is what percent of 572

100%/x%=572/409.1
(100/x)*x=(572/409.1)*x       - we multiply both sides of the equation by x
100=1.3981911513077*x       - we divide both sides of the equation by (1.3981911513077) to get x
100/1.3981911513077=x
71.520979020979=x
x=71.520979020979

now we have:
409.1 is 71.520979020979% of 572