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

7. Solution for 6 is what percent of 9.7

100%/x%=9.7/6
(100/x)*x=(9.7/6)*x       - we multiply both sides of the equation by x
100=1.6166666666667*x       - we divide both sides of the equation by (1.6166666666667) to get x
100/1.6166666666667=x
61.855670103093=x
x=61.855670103093

now we have:
6 is 61.855670103093% of 9.7