What is 49.44 percent of 1.55 - 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 1.55 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 1.55 is 100%, so we can write it down as 1.55=100%.
4. We know, that x is 49.44% of the output value, so we can write it down as x=49.44%.
5. Now we have two simple equations:
1) 1.55=100%
2) x=49.44%
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:
1.55/x=100%/49.44%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 49.44% of 1.55

1.55/x=100/49.44
(1.55/x)*x=(100/49.44)*x       - we multiply both sides of the equation by x
1.55=2.0226537216828*x       - we divide both sides of the equation by (2.0226537216828) to get x
1.55/2.0226537216828=x
0.76632=x
x=0.76632

now we have:
49.44% of 1.55=0.76632