319.98 is what percent of 399.97 - 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 399.97 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 399.97, so we can write it down as 100%=399.97.
4. We know, that x% equals 319.98 of the output value, so we can write it down as x%=319.98.
5. Now we have two simple equations:
1) 100%=399.97
2) x%=319.98
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%=399.97/319.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 319.98 is what percent of 399.97

100%/x%=399.97/319.98
(100/x)*x=(399.97/319.98)*x       - we multiply both sides of the equation by x
100=1.2499843740234*x       - we divide both sides of the equation by (1.2499843740234) to get x
100/1.2499843740234=x
80.001000075006=x
x=80.001000075006

now we have:
319.98 is 80.001000075006% of 399.97