What is 54 percent of 85.2 - 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 85.2 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 85.2 is 100%, so we can write it down as 85.2=100%.
4. We know, that x is 54% of the output value, so we can write it down as x=54%.
5. Now we have two simple equations:
1) 85.2=100%
2) x=54%
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:
85.2/x=100%/54%
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 54% of 85.2

85.2/x=100/54
(85.2/x)*x=(100/54)*x       - we multiply both sides of the equation by x
85.2=1.8518518518519*x       - we divide both sides of the equation by (1.8518518518519) to get x
85.2/1.8518518518519=x
46.008=x
x=46.008

now we have:
54% of 85.2=46.008