42.66 is what percent of 581.41 - 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 581.41 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 581.41, so we can write it down as 100%=581.41.
4. We know, that x% equals 42.66 of the output value, so we can write it down as x%=42.66.
5. Now we have two simple equations:
1) 100%=581.41
2) x%=42.66
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%=581.41/42.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.66 is what percent of 581.41

100%/x%=581.41/42.66
(100/x)*x=(581.41/42.66)*x       - we multiply both sides of the equation by x
100=13.628926394749*x       - we divide both sides of the equation by (13.628926394749) to get x
100/13.628926394749=x
7.3373350991555=x
x=7.3373350991555

now we have:
42.66 is 7.3373350991555% of 581.41