What is 35.7142857143 percent of 29 - 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 29 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 29 is 100%, so we can write it down as 29=100%.
4. We know, that x is 35.7142857143% of the output value, so we can write it down as x=35.7142857143%.
5. Now we have two simple equations:
1) 29=100%
2) x=35.7142857143%
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:
29/x=100%/35.7142857143%
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 35.7142857143% of 29

29/x=100/35.7142857143
(29/x)*x=(100/35.7142857143)*x       - we multiply both sides of the equation by x
29=2.7999999999989*x       - we divide both sides of the equation by (2.7999999999989) to get x
29/2.7999999999989=x
10.357142857147=x
x=10.357142857147

now we have:
35.7142857143% of 29=10.357142857147