9.16 is what percent of 980 - 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 980 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 980, so we can write it down as 100%=980.
4. We know, that x% equals 9.16 of the output value, so we can write it down as x%=9.16.
5. Now we have two simple equations:
1) 100%=980
2) x%=9.16
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%=980/9.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.16 is what percent of 980

100%/x%=980/9.16
(100/x)*x=(980/9.16)*x       - we multiply both sides of the equation by x
100=106.98689956332*x       - we divide both sides of the equation by (106.98689956332) to get x
100/106.98689956332=x
0.93469387755102=x
x=0.93469387755102

now we have:
9.16 is 0.93469387755102% of 980