What is 85.005 percent of 49.45 - 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 49.45 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 49.45 is 100%, so we can write it down as 49.45=100%.
4. We know, that x is 85.005% of the output value, so we can write it down as x=85.005%.
5. Now we have two simple equations:
1) 49.45=100%
2) x=85.005%
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:
49.45/x=100%/85.005%
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 85.005% of 49.45

49.45/x=100/85.005
(49.45/x)*x=(100/85.005)*x       - we multiply both sides of the equation by x
49.45=1.1764013881536*x       - we divide both sides of the equation by (1.1764013881536) to get x
49.45/1.1764013881536=x
42.0349725=x
x=42.0349725

now we have:
85.005% of 49.45=42.0349725