What is 31.115515384838 percent of 15 - 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 15 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 15 is 100%, so we can write it down as 15=100%.
4. We know, that x is 31.115515384838% of the output value, so we can write it down as x=31.115515384838%.
5. Now we have two simple equations:
1) 15=100%
2) x=31.115515384838%
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:
15/x=100%/31.115515384838%
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 31.115515384838% of 15

15/x=100/31.115515384838
(15/x)*x=(100/31.115515384838)*x       - we multiply both sides of the equation by x
15=3.2138307453113*x       - we divide both sides of the equation by (3.2138307453113) to get x
15/3.2138307453113=x
4.6673273077257=x
x=4.6673273077257

now we have:
31.115515384838% of 15=4.6673273077257