519.98 is what percent of 6.75 - 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 6.75 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 6.75, so we can write it down as 100%=6.75.
4. We know, that x% equals 519.98 of the output value, so we can write it down as x%=519.98.
5. Now we have two simple equations:
1) 100%=6.75
2) x%=519.98
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%=6.75/519.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 519.98 is what percent of 6.75

100%/x%=6.75/519.98
(100/x)*x=(6.75/519.98)*x       - we multiply both sides of the equation by x
100=0.012981268510327*x       - we divide both sides of the equation by (0.012981268510327) to get x
100/0.012981268510327=x
7703.4074074074=x
x=7703.4074074074

now we have:
519.98 is 7703.4074074074% of 6.75