What is 9.47368421053 percent of 360 - 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 360 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 360 is 100%, so we can write it down as 360=100%.
4. We know, that x is 9.47368421053% of the output value, so we can write it down as x=9.47368421053%.
5. Now we have two simple equations:
1) 360=100%
2) x=9.47368421053%
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:
360/x=100%/9.47368421053%
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 9.47368421053% of 360

360/x=100/9.47368421053
(360/x)*x=(100/9.47368421053)*x       - we multiply both sides of the equation by x
360=10.555555555551*x       - we divide both sides of the equation by (10.555555555551) to get x
360/10.555555555551=x
34.105263157908=x
x=34.105263157908

now we have:
9.47368421053% of 360=34.105263157908