What is 17 percent of 17.64705 - 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 17.64705 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 17.64705 is 100%, so we can write it down as 17.64705=100%.
4. We know, that x is 17% of the output value, so we can write it down as x=17%.
5. Now we have two simple equations:
1) 17.64705=100%
2) x=17%
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:
17.64705/x=100%/17%
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 17% of 17.64705

17.64705/x=100/17
(17.64705/x)*x=(100/17)*x       - we multiply both sides of the equation by x
17.64705=5.8823529411765*x       - we divide both sides of the equation by (5.8823529411765) to get x
17.64705/5.8823529411765=x
2.9999985=x
x=2.9999985

now we have:
17% of 17.64705=2.9999985