23.8 is what percent of 85.09 - 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 85.09 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 85.09, so we can write it down as 100%=85.09.
4. We know, that x% equals 23.8 of the output value, so we can write it down as x%=23.8.
5. Now we have two simple equations:
1) 100%=85.09
2) x%=23.8
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%=85.09/23.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.8 is what percent of 85.09

100%/x%=85.09/23.8
(100/x)*x=(85.09/23.8)*x       - we multiply both sides of the equation by x
100=3.5752100840336*x       - we divide both sides of the equation by (3.5752100840336) to get x
100/3.5752100840336=x
27.970384298978=x
x=27.970384298978

now we have:
23.8 is 27.970384298978% of 85.09