99 is what percent of 20053 - 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 20053 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 20053, so we can write it down as 100%=20053.
4. We know, that x% equals 99 of the output value, so we can write it down as x%=99.
5. Now we have two simple equations:
1) 100%=20053
2) x%=99
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%=20053/99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99 is what percent of 20053

100%/x%=20053/99
(100/x)*x=(20053/99)*x       - we multiply both sides of the equation by x
100=202.55555555556*x       - we divide both sides of the equation by (202.55555555556) to get x
100/202.55555555556=x
0.49369171695008=x
x=0.49369171695008

now we have:
99 is 0.49369171695008% of 20053