0.42 is what percent of 84.37 - 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 84.37 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 84.37, so we can write it down as 100%=84.37.
4. We know, that x% equals 0.42 of the output value, so we can write it down as x%=0.42.
5. Now we have two simple equations:
1) 100%=84.37
2) x%=0.42
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%=84.37/0.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.42 is what percent of 84.37

100%/x%=84.37/0.42
(100/x)*x=(84.37/0.42)*x       - we multiply both sides of the equation by x
100=200.88095238095*x       - we divide both sides of the equation by (200.88095238095) to get x
100/200.88095238095=x
0.49780727746829=x
x=0.49780727746829

now we have:
0.42 is 0.49780727746829% of 84.37