What is 10.2 percent of 359.99 - 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 359.99 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 359.99 is 100%, so we can write it down as 359.99=100%.
4. We know, that x is 10.2% of the output value, so we can write it down as x=10.2%.
5. Now we have two simple equations:
1) 359.99=100%
2) x=10.2%
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:
359.99/x=100%/10.2%
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 10.2% of 359.99

359.99/x=100/10.2
(359.99/x)*x=(100/10.2)*x       - we multiply both sides of the equation by x
359.99=9.8039215686275*x       - we divide both sides of the equation by (9.8039215686275) to get x
359.99/9.8039215686275=x
36.71898=x
x=36.71898

now we have:
10.2% of 359.99=36.71898