0.61 is what percent of 9.1 - 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 9.1 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 9.1, so we can write it down as 100%=9.1.
4. We know, that x% equals 0.61 of the output value, so we can write it down as x%=0.61.
5. Now we have two simple equations:
1) 100%=9.1
2) x%=0.61
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%=9.1/0.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.61 is what percent of 9.1

100%/x%=9.1/0.61
(100/x)*x=(9.1/0.61)*x       - we multiply both sides of the equation by x
100=14.918032786885*x       - we divide both sides of the equation by (14.918032786885) to get x
100/14.918032786885=x
6.7032967032967=x
x=6.7032967032967

now we have:
0.61 is 6.7032967032967% of 9.1