What is 140 percent of 107.5 - 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 107.5 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 107.5 is 100%, so we can write it down as 107.5=100%.
4. We know, that x is 140% of the output value, so we can write it down as x=140%.
5. Now we have two simple equations:
1) 107.5=100%
2) x=140%
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:
107.5/x=100%/140%
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 140% of 107.5

107.5/x=100/140
(107.5/x)*x=(100/140)*x       - we multiply both sides of the equation by x
107.5=0.71428571428571*x       - we divide both sides of the equation by (0.71428571428571) to get x
107.5/0.71428571428571=x
150.5=x
x=150.5

now we have:
140% of 107.5=150.5