7.79 is what percent of 155.99 - 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 155.99 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 155.99, so we can write it down as 100%=155.99.
4. We know, that x% equals 7.79 of the output value, so we can write it down as x%=7.79.
5. Now we have two simple equations:
1) 100%=155.99
2) x%=7.79
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%=155.99/7.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.79 is what percent of 155.99

100%/x%=155.99/7.79
(100/x)*x=(155.99/7.79)*x       - we multiply both sides of the equation by x
100=20.024390243902*x       - we divide both sides of the equation by (20.024390243902) to get x
100/20.024390243902=x
4.9939098660171=x
x=4.9939098660171

now we have:
7.79 is 4.9939098660171% of 155.99