What is 140 percent of 118.25 - 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 118.25 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 118.25 is 100%, so we can write it down as 118.25=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) 118.25=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:
118.25/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 118.25

118.25/x=100/140
(118.25/x)*x=(100/140)*x       - we multiply both sides of the equation by x
118.25=0.71428571428571*x       - we divide both sides of the equation by (0.71428571428571) to get x
118.25/0.71428571428571=x
165.55=x
x=165.55

now we have:
140% of 118.25=165.55