What is 87.23 percent of 47 - 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 47 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 47 is 100%, so we can write it down as 47=100%.
4. We know, that x is 87.23% of the output value, so we can write it down as x=87.23%.
5. Now we have two simple equations:
1) 47=100%
2) x=87.23%
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:
47/x=100%/87.23%
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 87.23% of 47

47/x=100/87.23
(47/x)*x=(100/87.23)*x       - we multiply both sides of the equation by x
47=1.1463945890175*x       - we divide both sides of the equation by (1.1463945890175) to get x
47/1.1463945890175=x
40.9981=x
x=40.9981

now we have:
87.23% of 47=40.9981