5.44 is what percent of 8.29 - 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 8.29 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 8.29, so we can write it down as 100%=8.29.
4. We know, that x% equals 5.44 of the output value, so we can write it down as x%=5.44.
5. Now we have two simple equations:
1) 100%=8.29
2) x%=5.44
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:
100%/x%=8.29/5.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.44 is what percent of 8.29

100%/x%=8.29/5.44
(100/x)*x=(8.29/5.44)*x       - we multiply both sides of the equation by x
100=1.52389705882*x       - we divide both sides of the equation by (1.52389705882) to get x
100/1.52389705882=x
65.6212303981=x
x=65.6212303981

now we have:
5.44 is 65.6212303981% of 8.29