23.8 is what percent of 42.84 - 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 42.84 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 42.84, so we can write it down as 100%=42.84.
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%=42.84
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%=42.84/23.8
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 42.84

100%/x%=42.84/23.8
(100/x)*x=(42.84/23.8)*x       - we multiply both sides of the equation by x
100=1.8*x       - we divide both sides of the equation by (1.8) to get x
100/1.8=x
55.5555555556=x
x=55.5555555556

now we have:
23.8 is 55.5555555556% of 42.84