What is 37.142857142857 percent of 140 - 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 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 is 100%, so we can write it down as 140=100%.
4. We know, that x is 37.142857142857% of the output value, so we can write it down as x=37.142857142857%.
5. Now we have two simple equations:
1) 140=100%
2) x=37.142857142857%
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/x=100%/37.142857142857%
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 37.142857142857% of 140

140/x=100/37.142857142857
(140/x)*x=(100/37.142857142857)*x       - we multiply both sides of the equation by x
140=2.6923076923077*x       - we divide both sides of the equation by (2.6923076923077) to get x
140/2.6923076923077=x
52=x
x=52

now we have:
37.142857142857% of 140=52