0.78 is what percent of 8.56 - 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 8.56 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 8.56, so we can write it down as 100%=8.56.
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%=8.56
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%=8.56/0.78
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 8.56

100%/x%=8.56/0.78
(100/x)*x=(8.56/0.78)*x       - we multiply both sides of the equation by x
100=10.974358974359*x       - we divide both sides of the equation by (10.974358974359) to get x
100/10.974358974359=x
9.1121495327103=x
x=9.1121495327103

now we have:
0.78 is 9.1121495327103% of 8.56