What is 87.2 percent of 46.54 - 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 46.54 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 46.54 is 100%, so we can write it down as 46.54=100%.
4. We know, that x is 87.2% of the output value, so we can write it down as x=87.2%.
5. Now we have two simple equations:
1) 46.54=100%
2) x=87.2%
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:
46.54/x=100%/87.2%
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 87.2% of 46.54

46.54/x=100/87.2
(46.54/x)*x=(100/87.2)*x       - we multiply both sides of the equation by x
46.54=1.1467889908257*x       - we divide both sides of the equation by (1.1467889908257) to get x
46.54/1.1467889908257=x
40.58288=x
x=40.58288

now we have:
87.2% of 46.54=40.58288