What is 28.72 percent of 35.02 - 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 35.02 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 35.02 is 100%, so we can write it down as 35.02=100%.
4. We know, that x is 28.72% of the output value, so we can write it down as x=28.72%.
5. Now we have two simple equations:
1) 35.02=100%
2) x=28.72%
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:
35.02/x=100%/28.72%
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 28.72% of 35.02

35.02/x=100/28.72
(35.02/x)*x=(100/28.72)*x       - we multiply both sides of the equation by x
35.02=3.4818941504178*x       - we divide both sides of the equation by (3.4818941504178) to get x
35.02/3.4818941504178=x
10.057744=x
x=10.057744

now we have:
28.72% of 35.02=10.057744