7.79 is what percent of 424 - 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 424 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 424, so we can write it down as 100%=424.
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%=424
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%=424/7.79
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 424

100%/x%=424/7.79
(100/x)*x=(424/7.79)*x       - we multiply both sides of the equation by x
100=54.428754813864*x       - we divide both sides of the equation by (54.428754813864) to get x
100/54.428754813864=x
1.8372641509434=x
x=1.8372641509434

now we have:
7.79 is 1.8372641509434% of 424