123.98 is what percent of 154.97 - 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 154.97 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 154.97, so we can write it down as 100%=154.97.
4. We know, that x% equals 123.98 of the output value, so we can write it down as x%=123.98.
5. Now we have two simple equations:
1) 100%=154.97
2) x%=123.98
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%=154.97/123.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 123.98 is what percent of 154.97

100%/x%=154.97/123.98
(100/x)*x=(154.97/123.98)*x       - we multiply both sides of the equation by x
100=1.2499596709147*x       - we divide both sides of the equation by (1.2499596709147) to get x
100/1.2499596709147=x
80.002581144738=x
x=80.002581144738

now we have:
123.98 is 80.002581144738% of 154.97