What is 71.43 percent of 49 - 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 49 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 49 is 100%, so we can write it down as 49=100%.
4. We know, that x is 71.43% of the output value, so we can write it down as x=71.43%.
5. Now we have two simple equations:
1) 49=100%
2) x=71.43%
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:
49/x=100%/71.43%
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 71.43% of 49

49/x=100/71.43
(49/x)*x=(100/71.43)*x       - we multiply both sides of the equation by x
49=1.39997200056*x       - we divide both sides of the equation by (1.39997200056) to get x
49/1.39997200056=x
35.0007=x
x=35.0007

now we have:
71.43% of 49=35.0007