What is 6.9972 percent of 214.5 - 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 214.5 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 214.5 is 100%, so we can write it down as 214.5=100%.
4. We know, that x is 6.9972% of the output value, so we can write it down as x=6.9972%.
5. Now we have two simple equations:
1) 214.5=100%
2) x=6.9972%
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:
214.5/x=100%/6.9972%
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 6.9972% of 214.5

214.5/x=100/6.9972
(214.5/x)*x=(100/6.9972)*x       - we multiply both sides of the equation by x
214.5=14.291430858058*x       - we divide both sides of the equation by (14.291430858058) to get x
214.5/14.291430858058=x
15.008994=x
x=15.008994

now we have:
6.9972% of 214.5=15.008994