381.8 is what percent of 389 - 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 389 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 389, so we can write it down as 100%=389.
4. We know, that x% equals 381.8 of the output value, so we can write it down as x%=381.8.
5. Now we have two simple equations:
1) 100%=389
2) x%=381.8
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%=389/381.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 381.8 is what percent of 389

100%/x%=389/381.8
(100/x)*x=(389/381.8)*x       - we multiply both sides of the equation by x
100=1.0188580408591*x       - we divide both sides of the equation by (1.0188580408591) to get x
100/1.0188580408591=x
98.149100257069=x
x=98.149100257069

now we have:
381.8 is 98.149100257069% of 389