What is 35.125 percent of 140.5 - 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 140.5 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 140.5 is 100%, so we can write it down as 140.5=100%.
4. We know, that x is 35.125% of the output value, so we can write it down as x=35.125%.
5. Now we have two simple equations:
1) 140.5=100%
2) x=35.125%
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:
140.5/x=100%/35.125%
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 35.125% of 140.5

140.5/x=100/35.125
(140.5/x)*x=(100/35.125)*x       - we multiply both sides of the equation by x
140.5=2.846975088968*x       - we divide both sides of the equation by (2.846975088968) to get x
140.5/2.846975088968=x
49.350625=x
x=49.350625

now we have:
35.125% of 140.5=49.350625