105.75 is what percent of 138 - 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 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, so we can write it down as 100%=138.
4. We know, that x% equals 105.75 of the output value, so we can write it down as x%=105.75.
5. Now we have two simple equations:
1) 100%=138
2) x%=105.75
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%=138/105.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.75 is what percent of 138

100%/x%=138/105.75
(100/x)*x=(138/105.75)*x       - we multiply both sides of the equation by x
100=1.3049645390071*x       - we divide both sides of the equation by (1.3049645390071) to get x
100/1.3049645390071=x
76.630434782609=x
x=76.630434782609

now we have:
105.75 is 76.630434782609% of 138