51.84 is what percent of 794.9 - 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 794.9 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 794.9, so we can write it down as 100%=794.9.
4. We know, that x% equals 51.84 of the output value, so we can write it down as x%=51.84.
5. Now we have two simple equations:
1) 100%=794.9
2) x%=51.84
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%=794.9/51.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.84 is what percent of 794.9

100%/x%=794.9/51.84
(100/x)*x=(794.9/51.84)*x       - we multiply both sides of the equation by x
100=15.333719135802*x       - we divide both sides of the equation by (15.333719135802) to get x
100/15.333719135802=x
6.5215750408856=x
x=6.5215750408856

now we have:
51.84 is 6.5215750408856% of 794.9