213.28 is what percent of 3947.28 - 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 3947.28 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 3947.28, so we can write it down as 100%=3947.28.
4. We know, that x% equals 213.28 of the output value, so we can write it down as x%=213.28.
5. Now we have two simple equations:
1) 100%=3947.28
2) x%=213.28
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%=3947.28/213.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 213.28 is what percent of 3947.28

100%/x%=3947.28/213.28
(100/x)*x=(3947.28/213.28)*x       - we multiply both sides of the equation by x
100=18.507501875469*x       - we divide both sides of the equation by (18.507501875469) to get x
100/18.507501875469=x
5.4032143653351=x
x=5.4032143653351

now we have:
213.28 is 5.4032143653351% of 3947.28