12434.57 is what percent of 12742 - 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 12742 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 12742, so we can write it down as 100%=12742.
4. We know, that x% equals 12434.57 of the output value, so we can write it down as x%=12434.57.
5. Now we have two simple equations:
1) 100%=12742
2) x%=12434.57
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%=12742/12434.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12434.57 is what percent of 12742

100%/x%=12742/12434.57
(100/x)*x=(12742/12434.57)*x       - we multiply both sides of the equation by x
100=1.0247238143337*x       - we divide both sides of the equation by (1.0247238143337) to get x
100/1.0247238143337=x
97.5872704442=x
x=97.5872704442

now we have:
12434.57 is 97.5872704442% of 12742