44.6 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 44.6 of the output value, so we can write it down as x%=44.6.
5. Now we have two simple equations:
1) 100%=78
2) x%=44.6
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%=78/44.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.6 is what percent of 78

100%/x%=78/44.6
(100/x)*x=(78/44.6)*x       - we multiply both sides of the equation by x
100=1.7488789237668*x       - we divide both sides of the equation by (1.7488789237668) to get x
100/1.7488789237668=x
57.179487179487=x
x=57.179487179487

now we have:
44.6 is 57.179487179487% of 78