126.42 is what percent of 2495 - 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 2495 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 2495, so we can write it down as 100%=2495.
4. We know, that x% equals 126.42 of the output value, so we can write it down as x%=126.42.
5. Now we have two simple equations:
1) 100%=2495
2) x%=126.42
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%=2495/126.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.42 is what percent of 2495

100%/x%=2495/126.42
(100/x)*x=(2495/126.42)*x       - we multiply both sides of the equation by x
100=19.735801297263*x       - we divide both sides of the equation by (19.735801297263) to get x
100/19.735801297263=x
5.0669338677355=x
x=5.0669338677355

now we have:
126.42 is 5.0669338677355% of 2495