What is 81.44 percent of 387.38 - 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 387.38 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 387.38 is 100%, so we can write it down as 387.38=100%.
4. We know, that x is 81.44% of the output value, so we can write it down as x=81.44%.
5. Now we have two simple equations:
1) 387.38=100%
2) x=81.44%
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:
387.38/x=100%/81.44%
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 81.44% of 387.38

387.38/x=100/81.44
(387.38/x)*x=(100/81.44)*x       - we multiply both sides of the equation by x
387.38=1.2278978388998*x       - we divide both sides of the equation by (1.2278978388998) to get x
387.38/1.2278978388998=x
315.482272=x
x=315.482272

now we have:
81.44% of 387.38=315.482272