42.18 is what percent of 78.2 - 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 78.2 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 100% equals 78.2, so we can write it down as 100%=78.2.
4. We know, that x% equals 42.18 of the output value, so we can write it down as x%=42.18.
5. Now we have two simple equations:
1) 100%=78.2
2) x%=42.18
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%=78.2/42.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.18 is what percent of 78.2

100%/x%=78.2/42.18
(100/x)*x=(78.2/42.18)*x       - we multiply both sides of the equation by x
100=1.8539592223803*x       - we divide both sides of the equation by (1.8539592223803) to get x
100/1.8539592223803=x
53.938618925831=x
x=53.938618925831

now we have:
42.18 is 53.938618925831% of 78.2