What is 32 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 32% of the output value, so we can write it down as x=32%.
5. Now we have two simple equations:
1) 35.2=100%
2) x=32%
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%/32%
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 32% of 35.2

35.2/x=100/32
(35.2/x)*x=(100/32)*x       - we multiply both sides of the equation by x
35.2=3.125*x       - we divide both sides of the equation by (3.125) to get x
35.2/3.125=x
11.264=x
x=11.264

now we have:
32% of 35.2=11.264