78.48 is what percent of 119.3 - 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 119.3 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 119.3, so we can write it down as 100%=119.3.
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%=119.3
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%=119.3/78.48
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 119.3

100%/x%=119.3/78.48
(100/x)*x=(119.3/78.48)*x       - we multiply both sides of the equation by x
100=1.5201325178389*x       - we divide both sides of the equation by (1.5201325178389) to get x
100/1.5201325178389=x
65.783738474434=x
x=65.783738474434

now we have:
78.48 is 65.783738474434% of 119.3