What is 3.1415926535898 percent of 314.159265359 - 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 314.159265359 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 314.159265359 is 100%, so we can write it down as 314.159265359=100%.
4. We know, that x is 3.1415926535898% of the output value, so we can write it down as x=3.1415926535898%.
5. Now we have two simple equations:
1) 314.159265359=100%
2) x=3.1415926535898%
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:
314.159265359/x=100%/3.1415926535898%
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 3.1415926535898% of 314.159265359

314.159265359/x=100/3.1415926535898
(314.159265359/x)*x=(100/3.1415926535898)*x       - we multiply both sides of the equation by x
314.159265359=31.830988618379*x       - we divide both sides of the equation by (31.830988618379) to get x
314.159265359/31.830988618379=x
9.86960440109=x
x=9.86960440109

now we have:
3.1415926535898% of 314.159265359=9.86960440109