409.2 is what percent of 60 - 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 60 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 60, so we can write it down as 100%=60.
4. We know, that x% equals 409.2 of the output value, so we can write it down as x%=409.2.
5. Now we have two simple equations:
1) 100%=60
2) x%=409.2
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%=60/409.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 409.2 is what percent of 60

100%/x%=60/409.2
(100/x)*x=(60/409.2)*x       - we multiply both sides of the equation by x
100=0.1466275659824*x       - we divide both sides of the equation by (0.1466275659824) to get x
100/0.1466275659824=x
682=x
x=682

now we have:
409.2 is 682% of 60