What is 17.35 percent of 3.82 - 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 3.82 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 3.82 is 100%, so we can write it down as 3.82=100%.
4. We know, that x is 17.35% of the output value, so we can write it down as x=17.35%.
5. Now we have two simple equations:
1) 3.82=100%
2) x=17.35%
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:
3.82/x=100%/17.35%
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 17.35% of 3.82

3.82/x=100/17.35
(3.82/x)*x=(100/17.35)*x       - we multiply both sides of the equation by x
3.82=5.7636887608069*x       - we divide both sides of the equation by (5.7636887608069) to get x
3.82/5.7636887608069=x
0.66277=x
x=0.66277

now we have:
17.35% of 3.82=0.66277