55 is what percent of 1483.6 - 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 1483.6 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 1483.6, so we can write it down as 100%=1483.6.
4. We know, that x% equals 55 of the output value, so we can write it down as x%=55.
5. Now we have two simple equations:
1) 100%=1483.6
2) x%=55
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%=1483.6/55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55 is what percent of 1483.6

100%/x%=1483.6/55
(100/x)*x=(1483.6/55)*x       - we multiply both sides of the equation by x
100=26.974545454545*x       - we divide both sides of the equation by (26.974545454545) to get x
100/26.974545454545=x
3.7071987058506=x
x=3.7071987058506

now we have:
55 is 3.7071987058506% of 1483.6