What is 6.7034621174109 percent of 296.47 - 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 296.47 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 296.47 is 100%, so we can write it down as 296.47=100%.
4. We know, that x is 6.7034621174109% of the output value, so we can write it down as x=6.7034621174109%.
5. Now we have two simple equations:
1) 296.47=100%
2) x=6.7034621174109%
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:
296.47/x=100%/6.7034621174109%
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 6.7034621174109% of 296.47

296.47/x=100/6.7034621174109
(296.47/x)*x=(100/6.7034621174109)*x       - we multiply both sides of the equation by x
296.47=14.917664670659*x       - we divide both sides of the equation by (14.917664670659) to get x
296.47/14.917664670659=x
19.873754139488=x
x=19.873754139488

now we have:
6.7034621174109% of 296.47=19.873754139488