126.54 is what percent of 138.54 - 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 138.54 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 138.54, so we can write it down as 100%=138.54.
4. We know, that x% equals 126.54 of the output value, so we can write it down as x%=126.54.
5. Now we have two simple equations:
1) 100%=138.54
2) x%=126.54
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%=138.54/126.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.54 is what percent of 138.54

100%/x%=138.54/126.54
(100/x)*x=(138.54/126.54)*x       - we multiply both sides of the equation by x
100=1.094831673779*x       - we divide both sides of the equation by (1.094831673779) to get x
100/1.094831673779=x
91.338241663058=x
x=91.338241663058

now we have:
126.54 is 91.338241663058% of 138.54