76.16 is what percent of 279.99 - 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 279.99 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 100% equals 279.99, so we can write it down as 100%=279.99.
4. We know, that x% equals 76.16 of the output value, so we can write it down as x%=76.16.
5. Now we have two simple equations:
1) 100%=279.99
2) x%=76.16
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:
100%/x%=279.99/76.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.16 is what percent of 279.99

100%/x%=279.99/76.16
(100/x)*x=(279.99/76.16)*x       - we multiply both sides of the equation by x
100=3.6763392857143*x       - we divide both sides of the equation by (3.6763392857143) to get x
100/3.6763392857143=x
27.200971463267=x
x=27.200971463267

now we have:
76.16 is 27.200971463267% of 279.99