78.48 is what percent of 105.84 - 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 105.84 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 105.84, so we can write it down as 100%=105.84.
4. We know, that x% equals 78.48 of the output value, so we can write it down as x%=78.48.
5. Now we have two simple equations:
1) 100%=105.84
2) x%=78.48
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%=105.84/78.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.48 is what percent of 105.84

100%/x%=105.84/78.48
(100/x)*x=(105.84/78.48)*x       - we multiply both sides of the equation by x
100=1.348623853211*x       - we divide both sides of the equation by (1.348623853211) to get x
100/1.348623853211=x
74.149659863946=x
x=74.149659863946

now we have:
78.48 is 74.149659863946% of 105.84