999.98 is what percent of 901.98 - 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 901.98 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 901.98, so we can write it down as 100%=901.98.
4. We know, that x% equals 999.98 of the output value, so we can write it down as x%=999.98.
5. Now we have two simple equations:
1) 100%=901.98
2) x%=999.98
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%=901.98/999.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 999.98 is what percent of 901.98

100%/x%=901.98/999.98
(100/x)*x=(901.98/999.98)*x       - we multiply both sides of the equation by x
100=0.9019980399608*x       - we divide both sides of the equation by (0.9019980399608) to get x
100/0.9019980399608=x
110.86498591987=x
x=110.86498591987

now we have:
999.98 is 110.86498591987% of 901.98