123.55 is what percent of 1.676 - 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 1.676 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 1.676, so we can write it down as 100%=1.676.
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%=1.676
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%=1.676/123.55
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 1.676

100%/x%=1.676/123.55
(100/x)*x=(1.676/123.55)*x       - we multiply both sides of the equation by x
100=0.013565358154593*x       - we divide both sides of the equation by (0.013565358154593) to get x
100/0.013565358154593=x
7371.7183770883=x
x=7371.7183770883

now we have:
123.55 is 7371.7183770883% of 1.676