367.2 is what percent of 4204.8 - 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 4204.8 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 4204.8, so we can write it down as 100%=4204.8.
4. We know, that x% equals 367.2 of the output value, so we can write it down as x%=367.2.
5. Now we have two simple equations:
1) 100%=4204.8
2) x%=367.2
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%=4204.8/367.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 367.2 is what percent of 4204.8

100%/x%=4204.8/367.2
(100/x)*x=(4204.8/367.2)*x       - we multiply both sides of the equation by x
100=11.450980392157*x       - we divide both sides of the equation by (11.450980392157) to get x
100/11.450980392157=x
8.7328767123288=x
x=8.7328767123288

now we have:
367.2 is 8.7328767123288% of 4204.8