What is 389 percent of 97.25 - 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 97.25 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 97.25 is 100%, so we can write it down as 97.25=100%.
4. We know, that x is 389% of the output value, so we can write it down as x=389%.
5. Now we have two simple equations:
1) 97.25=100%
2) x=389%
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:
97.25/x=100%/389%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 389% of 97.25

97.25/x=100/389
(97.25/x)*x=(100/389)*x       - we multiply both sides of the equation by x
97.25=0.25706940874036*x       - we divide both sides of the equation by (0.25706940874036) to get x
97.25/0.25706940874036=x
378.3025=x
x=378.3025

now we have:
389% of 97.25=378.3025