What is 30.875 percent of 376.77 - 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 376.77 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 376.77 is 100%, so we can write it down as 376.77=100%.
4. We know, that x is 30.875% of the output value, so we can write it down as x=30.875%.
5. Now we have two simple equations:
1) 376.77=100%
2) x=30.875%
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:
376.77/x=100%/30.875%
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 30.875% of 376.77

376.77/x=100/30.875
(376.77/x)*x=(100/30.875)*x       - we multiply both sides of the equation by x
376.77=3.2388663967611*x       - we divide both sides of the equation by (3.2388663967611) to get x
376.77/3.2388663967611=x
116.3277375=x
x=116.3277375

now we have:
30.875% of 376.77=116.3277375