55 is what percent of 4447 - 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 4447 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 4447, so we can write it down as 100%=4447.
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%=4447
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%=4447/55
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 4447

100%/x%=4447/55
(100/x)*x=(4447/55)*x       - we multiply both sides of the equation by x
100=80.854545454545*x       - we divide both sides of the equation by (80.854545454545) to get x
100/80.854545454545=x
1.2367888464133=x
x=1.2367888464133

now we have:
55 is 1.2367888464133% of 4447