5.45 is what percent of 1.308 - 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 1.308 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 1.308, so we can write it down as 100%=1.308.
4. We know, that x% equals 5.45 of the output value, so we can write it down as x%=5.45.
5. Now we have two simple equations:
1) 100%=1.308
2) x%=5.45
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%=1.308/5.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.45 is what percent of 1.308

100%/x%=1.308/5.45
(100/x)*x=(1.308/5.45)*x       - we multiply both sides of the equation by x
100=0.24*x       - we divide both sides of the equation by (0.24) to get x
100/0.24=x
416.66666666667=x
x=416.66666666667

now we have:
5.45 is 416.66666666667% of 1.308