What is 14.2 percent of 35.2 - 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 35.2 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 35.2 is 100%, so we can write it down as 35.2=100%.
4. We know, that x is 14.2% of the output value, so we can write it down as x=14.2%.
5. Now we have two simple equations:
1) 35.2=100%
2) x=14.2%
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:
35.2/x=100%/14.2%
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 14.2% of 35.2

35.2/x=100/14.2
(35.2/x)*x=(100/14.2)*x       - we multiply both sides of the equation by x
35.2=7.0422535211268*x       - we divide both sides of the equation by (7.0422535211268) to get x
35.2/7.0422535211268=x
4.9984=x
x=4.9984

now we have:
14.2% of 35.2=4.9984