67.89 is what percent of 123.45 - 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 123.45 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 123.45, so we can write it down as 100%=123.45.
4. We know, that x% equals 67.89 of the output value, so we can write it down as x%=67.89.
5. Now we have two simple equations:
1) 100%=123.45
2) x%=67.89
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%=123.45/67.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.89 is what percent of 123.45

100%/x%=123.45/67.89
(100/x)*x=(123.45/67.89)*x       - we multiply both sides of the equation by x
100=1.8183826778612*x       - we divide both sides of the equation by (1.8183826778612) to get x
100/1.8183826778612=x
54.993924665857=x
x=54.993924665857

now we have:
67.89 is 54.993924665857% of 123.45