150.66 is what percent of 646.75 - 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 646.75 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 646.75, so we can write it down as 100%=646.75.
4. We know, that x% equals 150.66 of the output value, so we can write it down as x%=150.66.
5. Now we have two simple equations:
1) 100%=646.75
2) x%=150.66
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%=646.75/150.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 150.66 is what percent of 646.75

100%/x%=646.75/150.66
(100/x)*x=(646.75/150.66)*x       - we multiply both sides of the equation by x
100=4.292778441524*x       - we divide both sides of the equation by (4.292778441524) to get x
100/4.292778441524=x
23.294936219559=x
x=23.294936219559

now we have:
150.66 is 23.294936219559% of 646.75