85.43 is what percent of 20.6 - 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 20.6 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 20.6, so we can write it down as 100%=20.6.
4. We know, that x% equals 85.43 of the output value, so we can write it down as x%=85.43.
5. Now we have two simple equations:
1) 100%=20.6
2) x%=85.43
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%=20.6/85.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.43 is what percent of 20.6

100%/x%=20.6/85.43
(100/x)*x=(20.6/85.43)*x       - we multiply both sides of the equation by x
100=0.24113309141988*x       - we divide both sides of the equation by (0.24113309141988) to get x
100/0.24113309141988=x
414.70873786408=x
x=414.70873786408

now we have:
85.43 is 414.70873786408% of 20.6