0.8 is what percent of 9.7 - 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 9.7 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 9.7, so we can write it down as 100%=9.7.
4. We know, that x% equals 0.8 of the output value, so we can write it down as x%=0.8.
5. Now we have two simple equations:
1) 100%=9.7
2) x%=0.8
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%=9.7/0.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.8 is what percent of 9.7

100%/x%=9.7/0.8
(100/x)*x=(9.7/0.8)*x       - we multiply both sides of the equation by x
100=12.125*x       - we divide both sides of the equation by (12.125) to get x
100/12.125=x
8.2474226804124=x
x=8.2474226804124

now we have:
0.8 is 8.2474226804124% of 9.7