924.58 is what percent of 999.9 - 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 999.9 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 999.9, so we can write it down as 100%=999.9.
4. We know, that x% equals 924.58 of the output value, so we can write it down as x%=924.58.
5. Now we have two simple equations:
1) 100%=999.9
2) x%=924.58
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%=999.9/924.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 924.58 is what percent of 999.9

100%/x%=999.9/924.58
(100/x)*x=(999.9/924.58)*x       - we multiply both sides of the equation by x
100=1.0814640160938*x       - we divide both sides of the equation by (1.0814640160938) to get x
100/1.0814640160938=x
92.467246724672=x
x=92.467246724672

now we have:
924.58 is 92.467246724672% of 999.9