0.78 is what percent of 0.48 - 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 0.48 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 0.48, so we can write it down as 100%=0.48.
4. We know, that x% equals 0.78 of the output value, so we can write it down as x%=0.78.
5. Now we have two simple equations:
1) 100%=0.48
2) x%=0.78
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%=0.48/0.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.78 is what percent of 0.48

100%/x%=0.48/0.78
(100/x)*x=(0.48/0.78)*x       - we multiply both sides of the equation by x
100=0.61538461538462*x       - we divide both sides of the equation by (0.61538461538462) to get x
100/0.61538461538462=x
162.5=x
x=162.5

now we have:
0.78 is 162.5% of 0.48