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

7. Solution for 901.98 is what percent of 999.98

100%/x%=999.98/901.98
(100/x)*x=(999.98/901.98)*x       - we multiply both sides of the equation by x
100=1.1086498591987*x       - we divide both sides of the equation by (1.1086498591987) to get x
100/1.1086498591987=x
90.19980399608=x
x=90.19980399608

now we have:
901.98 is 90.19980399608% of 999.98