8.79 is what percent of 5.79 - 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 5.79 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 5.79, so we can write it down as 100%=5.79.
4. We know, that x% equals 8.79 of the output value, so we can write it down as x%=8.79.
5. Now we have two simple equations:
1) 100%=5.79
2) x%=8.79
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%=5.79/8.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.79 is what percent of 5.79

100%/x%=5.79/8.79
(100/x)*x=(5.79/8.79)*x       - we multiply both sides of the equation by x
100=0.65870307167235*x       - we divide both sides of the equation by (0.65870307167235) to get x
100/0.65870307167235=x
151.81347150259=x
x=151.81347150259

now we have:
8.79 is 151.81347150259% of 5.79