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

7. Solution for 123.45 is what percent of 67.89

100%/x%=67.89/123.45
(100/x)*x=(67.89/123.45)*x       - we multiply both sides of the equation by x
100=0.54993924665857*x       - we divide both sides of the equation by (0.54993924665857) to get x
100/0.54993924665857=x
181.83826778612=x
x=181.83826778612

now we have:
123.45 is 181.83826778612% of 67.89