1899.99 is what percent of 1999.99 - 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 1999.99 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 1999.99, so we can write it down as 100%=1999.99.
4. We know, that x% equals 1899.99 of the output value, so we can write it down as x%=1899.99.
5. Now we have two simple equations:
1) 100%=1999.99
2) x%=1899.99
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%=1999.99/1899.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1899.99 is what percent of 1999.99

100%/x%=1999.99/1899.99
(100/x)*x=(1999.99/1899.99)*x       - we multiply both sides of the equation by x
100=1.0526318559571*x       - we divide both sides of the equation by (1.0526318559571) to get x
100/1.0526318559571=x
94.999974999875=x
x=94.999974999875

now we have:
1899.99 is 94.999974999875% of 1999.99