0.78 is what percent of 10 - 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 10 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 10, so we can write it down as 100%=10.
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%=10
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%=10/0.78
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 10

100%/x%=10/0.78
(100/x)*x=(10/0.78)*x       - we multiply both sides of the equation by x
100=12.820512820513*x       - we divide both sides of the equation by (12.820512820513) to get x
100/12.820512820513=x
7.8=x
x=7.8

now we have:
0.78 is 7.8% of 10