What is 6.5 percent of 294.24 - 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 294.24 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 294.24 is 100%, so we can write it down as 294.24=100%.
4. We know, that x is 6.5% of the output value, so we can write it down as x=6.5%.
5. Now we have two simple equations:
1) 294.24=100%
2) x=6.5%
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:
294.24/x=100%/6.5%
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 6.5% of 294.24

294.24/x=100/6.5
(294.24/x)*x=(100/6.5)*x       - we multiply both sides of the equation by x
294.24=15.384615384615*x       - we divide both sides of the equation by (15.384615384615) to get x
294.24/15.384615384615=x
19.1256=x
x=19.1256

now we have:
6.5% of 294.24=19.1256