0.68 is what percent of 10.05 - 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 10.05 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 10.05, so we can write it down as 100%=10.05.
4. We know, that x% equals 0.68 of the output value, so we can write it down as x%=0.68.
5. Now we have two simple equations:
1) 100%=10.05
2) x%=0.68
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%=10.05/0.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.68 is what percent of 10.05

100%/x%=10.05/0.68
(100/x)*x=(10.05/0.68)*x       - we multiply both sides of the equation by x
100=14.779411764706*x       - we divide both sides of the equation by (14.779411764706) to get x
100/14.779411764706=x
6.7661691542289=x
x=6.7661691542289

now we have:
0.68 is 6.7661691542289% of 10.05