What is 85.85 percent of 52.9 - 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 52.9 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 52.9 is 100%, so we can write it down as 52.9=100%.
4. We know, that x is 85.85% of the output value, so we can write it down as x=85.85%.
5. Now we have two simple equations:
1) 52.9=100%
2) x=85.85%
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:
52.9/x=100%/85.85%
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 85.85% of 52.9

52.9/x=100/85.85
(52.9/x)*x=(100/85.85)*x       - we multiply both sides of the equation by x
52.9=1.1648223645894*x       - we divide both sides of the equation by (1.1648223645894) to get x
52.9/1.1648223645894=x
45.41465=x
x=45.41465

now we have:
85.85% of 52.9=45.41465