4.2 is what percent of 188.8 - 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 188.8 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 188.8, so we can write it down as 100%=188.8.
4. We know, that x% equals 4.2 of the output value, so we can write it down as x%=4.2.
5. Now we have two simple equations:
1) 100%=188.8
2) x%=4.2
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%=188.8/4.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.2 is what percent of 188.8

100%/x%=188.8/4.2
(100/x)*x=(188.8/4.2)*x       - we multiply both sides of the equation by x
100=44.952380952381*x       - we divide both sides of the equation by (44.952380952381) to get x
100/44.952380952381=x
2.2245762711864=x
x=2.2245762711864

now we have:
4.2 is 2.2245762711864% of 188.8