What is 40.44 percent of 87.2 - 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 87.2 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 87.2 is 100%, so we can write it down as 87.2=100%.
4. We know, that x is 40.44% of the output value, so we can write it down as x=40.44%.
5. Now we have two simple equations:
1) 87.2=100%
2) x=40.44%
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:
87.2/x=100%/40.44%
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 40.44% of 87.2

87.2/x=100/40.44
(87.2/x)*x=(100/40.44)*x       - we multiply both sides of the equation by x
87.2=2.4727992087043*x       - we divide both sides of the equation by (2.4727992087043) to get x
87.2/2.4727992087043=x
35.26368=x
x=35.26368

now we have:
40.44% of 87.2=35.26368