99.33 is what percent of 976.88 - 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 976.88 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 976.88, so we can write it down as 100%=976.88.
4. We know, that x% equals 99.33 of the output value, so we can write it down as x%=99.33.
5. Now we have two simple equations:
1) 100%=976.88
2) x%=99.33
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%=976.88/99.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.33 is what percent of 976.88

100%/x%=976.88/99.33
(100/x)*x=(976.88/99.33)*x       - we multiply both sides of the equation by x
100=9.8346924393436*x       - we divide both sides of the equation by (9.8346924393436) to get x
100/9.8346924393436=x
10.16808615183=x
x=10.16808615183

now we have:
99.33 is 10.16808615183% of 976.88