What is 85.14 percent of 48 - 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 48 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 48 is 100%, so we can write it down as 48=100%.
4. We know, that x is 85.14% of the output value, so we can write it down as x=85.14%.
5. Now we have two simple equations:
1) 48=100%
2) x=85.14%
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:
48/x=100%/85.14%
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 85.14% of 48

48/x=100/85.14
(48/x)*x=(100/85.14)*x       - we multiply both sides of the equation by x
48=1.174536058257*x       - we divide both sides of the equation by (1.174536058257) to get x
48/1.174536058257=x
40.8672=x
x=40.8672

now we have:
85.14% of 48=40.8672