96.1 is what percent of 931 - 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 931 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 931, so we can write it down as 100%=931.
4. We know, that x% equals 96.1 of the output value, so we can write it down as x%=96.1.
5. Now we have two simple equations:
1) 100%=931
2) x%=96.1
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%=931/96.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.1 is what percent of 931

100%/x%=931/96.1
(100/x)*x=(931/96.1)*x       - we multiply both sides of the equation by x
100=9.687825182102*x       - we divide both sides of the equation by (9.687825182102) to get x
100/9.687825182102=x
10.322234156821=x
x=10.322234156821

now we have:
96.1 is 10.322234156821% of 931