What is 6.6964 percent of 550 - 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 550 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 550 is 100%, so we can write it down as 550=100%.
4. We know, that x is 6.6964% of the output value, so we can write it down as x=6.6964%.
5. Now we have two simple equations:
1) 550=100%
2) x=6.6964%
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:
550/x=100%/6.6964%
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 6.6964% of 550

550/x=100/6.6964
(550/x)*x=(100/6.6964)*x       - we multiply both sides of the equation by x
550=14.933397049161*x       - we divide both sides of the equation by (14.933397049161) to get x
550/14.933397049161=x
36.8302=x
x=36.8302

now we have:
6.6964% of 550=36.8302