228.75 is what percent of 4212.8 - 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 4212.8 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 4212.8, so we can write it down as 100%=4212.8.
4. We know, that x% equals 228.75 of the output value, so we can write it down as x%=228.75.
5. Now we have two simple equations:
1) 100%=4212.8
2) x%=228.75
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%=4212.8/228.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 228.75 is what percent of 4212.8

100%/x%=4212.8/228.75
(100/x)*x=(4212.8/228.75)*x       - we multiply both sides of the equation by x
100=18.416612021858*x       - we divide both sides of the equation by (18.416612021858) to get x
100/18.416612021858=x
5.4298803646031=x
x=5.4298803646031

now we have:
228.75 is 5.4298803646031% of 4212.8