138.58 is what percent of 148.65 - 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 148.65 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 148.65, so we can write it down as 100%=148.65.
4. We know, that x% equals 138.58 of the output value, so we can write it down as x%=138.58.
5. Now we have two simple equations:
1) 100%=148.65
2) x%=138.58
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%=148.65/138.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 138.58 is what percent of 148.65

100%/x%=148.65/138.58
(100/x)*x=(148.65/138.58)*x       - we multiply both sides of the equation by x
100=1.0726656083129*x       - we divide both sides of the equation by (1.0726656083129) to get x
100/1.0726656083129=x
93.2256979482=x
x=93.2256979482

now we have:
138.58 is 93.2256979482% of 148.65