399.64 is what percent of 1.998 - 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 1.998 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 1.998, so we can write it down as 100%=1.998.
4. We know, that x% equals 399.64 of the output value, so we can write it down as x%=399.64.
5. Now we have two simple equations:
1) 100%=1.998
2) x%=399.64
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%=1.998/399.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 399.64 is what percent of 1.998

100%/x%=1.998/399.64
(100/x)*x=(1.998/399.64)*x       - we multiply both sides of the equation by x
100=0.0049994995495946*x       - we divide both sides of the equation by (0.0049994995495946) to get x
100/0.0049994995495946=x
20002.002002002=x
x=20002.002002002

now we have:
399.64 is 20002.002002002% of 1.998