929.55 is what percent of 1000.1 - 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 1000.1 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 1000.1, so we can write it down as 100%=1000.1.
4. We know, that x% equals 929.55 of the output value, so we can write it down as x%=929.55.
5. Now we have two simple equations:
1) 100%=1000.1
2) x%=929.55
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%=1000.1/929.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 929.55 is what percent of 1000.1

100%/x%=1000.1/929.55
(100/x)*x=(1000.1/929.55)*x       - we multiply both sides of the equation by x
100=1.0758969393793*x       - we divide both sides of the equation by (1.0758969393793) to get x
100/1.0758969393793=x
92.945705429457=x
x=92.945705429457

now we have:
929.55 is 92.945705429457% of 1000.1