What is 377 percent of 0.116 - 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 0.116 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 0.116 is 100%, so we can write it down as 0.116=100%.
4. We know, that x is 377% of the output value, so we can write it down as x=377%.
5. Now we have two simple equations:
1) 0.116=100%
2) x=377%
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:
0.116/x=100%/377%
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 377% of 0.116

0.116/x=100/377
(0.116/x)*x=(100/377)*x       - we multiply both sides of the equation by x
0.116=0.26525198938992*x       - we divide both sides of the equation by (0.26525198938992) to get x
0.116/0.26525198938992=x
0.43732=x
x=0.43732

now we have:
377% of 0.116=0.43732