138.67 is what percent of 640 - 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 640 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 640, so we can write it down as 100%=640.
4. We know, that x% equals 138.67 of the output value, so we can write it down as x%=138.67.
5. Now we have two simple equations:
1) 100%=640
2) x%=138.67
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%=640/138.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 138.67 is what percent of 640

100%/x%=640/138.67
(100/x)*x=(640/138.67)*x       - we multiply both sides of the equation by x
100=4.615273671306*x       - we divide both sides of the equation by (4.615273671306) to get x
100/4.615273671306=x
21.6671875=x
x=21.6671875

now we have:
138.67 is 21.6671875% of 640