What is 35.4838709677 percent of 40.2 - 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 40.2 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 40.2 is 100%, so we can write it down as 40.2=100%.
4. We know, that x is 35.4838709677% of the output value, so we can write it down as x=35.4838709677%.
5. Now we have two simple equations:
1) 40.2=100%
2) x=35.4838709677%
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:
40.2/x=100%/35.4838709677%
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 35.4838709677% of 40.2

40.2/x=100/35.4838709677
(40.2/x)*x=(100/35.4838709677)*x       - we multiply both sides of the equation by x
40.2=2.8181818181851*x       - we divide both sides of the equation by (2.8181818181851) to get x
40.2/2.8181818181851=x
14.264516129015=x
x=14.264516129015

now we have:
35.4838709677% of 40.2=14.264516129015