9.99 is what percent of 1.99 - 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 1.99 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 1.99, so we can write it down as 100%=1.99.
4. We know, that x% equals 9.99 of the output value, so we can write it down as x%=9.99.
5. Now we have two simple equations:
1) 100%=1.99
2) x%=9.99
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%=1.99/9.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.99 is what percent of 1.99

100%/x%=1.99/9.99
(100/x)*x=(1.99/9.99)*x       - we multiply both sides of the equation by x
100=0.1991991991992*x       - we divide both sides of the equation by (0.1991991991992) to get x
100/0.1991991991992=x
502.01005025126=x
x=502.01005025126

now we have:
9.99 is 502.01005025126% of 1.99