What is 380 percent of 36.2 - 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 36.2 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 36.2 is 100%, so we can write it down as 36.2=100%.
4. We know, that x is 380% of the output value, so we can write it down as x=380%.
5. Now we have two simple equations:
1) 36.2=100%
2) x=380%
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:
36.2/x=100%/380%
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 380% of 36.2

36.2/x=100/380
(36.2/x)*x=(100/380)*x       - we multiply both sides of the equation by x
36.2=0.26315789473684*x       - we divide both sides of the equation by (0.26315789473684) to get x
36.2/0.26315789473684=x
137.56=x
x=137.56

now we have:
380% of 36.2=137.56