66 is what percent of 142.4 - 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 142.4 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 142.4, so we can write it down as 100%=142.4.
4. We know, that x% equals 66 of the output value, so we can write it down as x%=66.
5. Now we have two simple equations:
1) 100%=142.4
2) x%=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%=142.4/66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66 is what percent of 142.4

100%/x%=142.4/66
(100/x)*x=(142.4/66)*x       - we multiply both sides of the equation by x
100=2.1575757575758*x       - we divide both sides of the equation by (2.1575757575758) to get x
100/2.1575757575758=x
46.348314606742=x
x=46.348314606742

now we have:
66 is 46.348314606742% of 142.4