48.45 is what percent of 1211.2 - 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 1211.2 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 1211.2, so we can write it down as 100%=1211.2.
4. We know, that x% equals 48.45 of the output value, so we can write it down as x%=48.45.
5. Now we have two simple equations:
1) 100%=1211.2
2) x%=48.45
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%=1211.2/48.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.45 is what percent of 1211.2

100%/x%=1211.2/48.45
(100/x)*x=(1211.2/48.45)*x       - we multiply both sides of the equation by x
100=24.998968008256*x       - we divide both sides of the equation by (24.998968008256) to get x
100/24.998968008256=x
4.0001651254954=x
x=4.0001651254954

now we have:
48.45 is 4.0001651254954% of 1211.2