What is 318 percent of 0.318 - 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 0.318 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 0.318 is 100%, so we can write it down as 0.318=100%.
4. We know, that x is 318% of the output value, so we can write it down as x=318%.
5. Now we have two simple equations:
1) 0.318=100%
2) x=318%
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:
0.318/x=100%/318%
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 318% of 0.318

0.318/x=100/318
(0.318/x)*x=(100/318)*x       - we multiply both sides of the equation by x
0.318=0.31446540880503*x       - we divide both sides of the equation by (0.31446540880503) to get x
0.318/0.31446540880503=x
1.01124=x
x=1.01124

now we have:
318% of 0.318=1.01124