What is 7.1808510638298 percent of 1176 - 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 1176 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 1176 is 100%, so we can write it down as 1176=100%.
4. We know, that x is 7.1808510638298% of the output value, so we can write it down as x=7.1808510638298%.
5. Now we have two simple equations:
1) 1176=100%
2) x=7.1808510638298%
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:
1176/x=100%/7.1808510638298%
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 7.1808510638298% of 1176

1176/x=100/7.1808510638298
(1176/x)*x=(100/7.1808510638298)*x       - we multiply both sides of the equation by x
1176=13.925925925926*x       - we divide both sides of the equation by (13.925925925926) to get x
1176/13.925925925926=x
84.446808510638=x
x=84.446808510638

now we have:
7.1808510638298% of 1176=84.446808510638