66.66 is what percent of 147.93 - 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 147.93 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 147.93, so we can write it down as 100%=147.93.
4. We know, that x% equals 66.66 of the output value, so we can write it down as x%=66.66.
5. Now we have two simple equations:
1) 100%=147.93
2) x%=66.66
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%=147.93/66.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.66 is what percent of 147.93

100%/x%=147.93/66.66
(100/x)*x=(147.93/66.66)*x       - we multiply both sides of the equation by x
100=2.2191719171917*x       - we divide both sides of the equation by (2.2191719171917) to get x
100/2.2191719171917=x
45.061853579396=x
x=45.061853579396

now we have:
66.66 is 45.061853579396% of 147.93