1.99 is what percent of 9.96 - 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 9.96 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 9.96, so we can write it down as 100%=9.96.
4. We know, that x% equals 1.99 of the output value, so we can write it down as x%=1.99.
5. Now we have two simple equations:
1) 100%=9.96
2) x%=1.99
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%=9.96/1.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.99 is what percent of 9.96

100%/x%=9.96/1.99
(100/x)*x=(9.96/1.99)*x       - we multiply both sides of the equation by x
100=5.0050251256281*x       - we divide both sides of the equation by (5.0050251256281) to get x
100/5.0050251256281=x
19.979919678715=x
x=19.979919678715

now we have:
1.99 is 19.979919678715% of 9.96