What is 105.6 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 138 is 100%, so we can write it down as 138=100%.
4. We know, that x is 105.6% of the output value, so we can write it down as x=105.6%.
5. Now we have two simple equations:
1) 138=100%
2) x=105.6%
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:
138/x=100%/105.6%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 105.6% of 138

138/x=100/105.6
(138/x)*x=(100/105.6)*x       - we multiply both sides of the equation by x
138=0.9469696969697*x       - we divide both sides of the equation by (0.9469696969697) to get x
138/0.9469696969697=x
145.728=x
x=145.728

now we have:
105.6% of 138=145.728