8 is what percent of 2.99 - 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 2.99 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 2.99, so we can write it down as 100%=2.99.
4. We know, that x% equals 8 of the output value, so we can write it down as x%=8.
5. Now we have two simple equations:
1) 100%=2.99
2) x%=8
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%=2.99/8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8 is what percent of 2.99

100%/x%=2.99/8
(100/x)*x=(2.99/8)*x       - we multiply both sides of the equation by x
100=0.37375*x       - we divide both sides of the equation by (0.37375) to get x
100/0.37375=x
267.55852842809=x
x=267.55852842809

now we have:
8 is 267.55852842809% of 2.99