42.95 is what percent of 858.85 - 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 858.85 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 100% equals 858.85, so we can write it down as 100%=858.85.
4. We know, that x% equals 42.95 of the output value, so we can write it down as x%=42.95.
5. Now we have two simple equations:
1) 100%=858.85
2) x%=42.95
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:
100%/x%=858.85/42.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.95 is what percent of 858.85

100%/x%=858.85/42.95
(100/x)*x=(858.85/42.95)*x       - we multiply both sides of the equation by x
100=19.996507566938*x       - we divide both sides of the equation by (19.996507566938) to get x
100/19.996507566938=x
5.0008732607557=x
x=5.0008732607557

now we have:
42.95 is 5.0008732607557% of 858.85