123.55 is what percent of 1676.45 - 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 1676.45 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 1676.45, so we can write it down as 100%=1676.45.
4. We know, that x% equals 123.55 of the output value, so we can write it down as x%=123.55.
5. Now we have two simple equations:
1) 100%=1676.45
2) x%=123.55
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%=1676.45/123.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 123.55 is what percent of 1676.45

100%/x%=1676.45/123.55
(100/x)*x=(1676.45/123.55)*x       - we multiply both sides of the equation by x
100=13.569000404694*x       - we divide both sides of the equation by (13.569000404694) to get x
100/13.569000404694=x
7.3697396283814=x
x=7.3697396283814

now we have:
123.55 is 7.3697396283814% of 1676.45