211.2 is what percent of 4104.46 - 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 4104.46 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 4104.46, so we can write it down as 100%=4104.46.
4. We know, that x% equals 211.2 of the output value, so we can write it down as x%=211.2.
5. Now we have two simple equations:
1) 100%=4104.46
2) x%=211.2
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%=4104.46/211.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 211.2 is what percent of 4104.46

100%/x%=4104.46/211.2
(100/x)*x=(4104.46/211.2)*x       - we multiply both sides of the equation by x
100=19.433996212121*x       - we divide both sides of the equation by (19.433996212121) to get x
100/19.433996212121=x
5.1456220793966=x
x=5.1456220793966

now we have:
211.2 is 5.1456220793966% of 4104.46