5.49 is what percent of 78 - 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 78 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 78, so we can write it down as 100%=78.
4. We know, that x% equals 5.49 of the output value, so we can write it down as x%=5.49.
5. Now we have two simple equations:
1) 100%=78
2) x%=5.49
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%=78/5.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.49 is what percent of 78

100%/x%=78/5.49
(100/x)*x=(78/5.49)*x       - we multiply both sides of the equation by x
100=14.207650273224*x       - we divide both sides of the equation by (14.207650273224) to get x
100/14.207650273224=x
7.0384615384615=x
x=7.0384615384615

now we have:
5.49 is 7.0384615384615% of 78