40.742 is what percent of 126.321 - 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 126.321 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 126.321, so we can write it down as 100%=126.321.
4. We know, that x% equals 40.742 of the output value, so we can write it down as x%=40.742.
5. Now we have two simple equations:
1) 100%=126.321
2) x%=40.742
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%=126.321/40.742
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.742 is what percent of 126.321

100%/x%=126.321/40.742
(100/x)*x=(126.321/40.742)*x       - we multiply both sides of the equation by x
100=3.1005105296745*x       - we divide both sides of the equation by (3.1005105296745) to get x
100/3.1005105296745=x
32.252752907276=x
x=32.252752907276

now we have:
40.742 is 32.252752907276% of 126.321