7.74 is what percent of 519.66 - 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 519.66 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 519.66, so we can write it down as 100%=519.66.
4. We know, that x% equals 7.74 of the output value, so we can write it down as x%=7.74.
5. Now we have two simple equations:
1) 100%=519.66
2) x%=7.74
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%=519.66/7.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.74 is what percent of 519.66

100%/x%=519.66/7.74
(100/x)*x=(519.66/7.74)*x       - we multiply both sides of the equation by x
100=67.139534883721*x       - we divide both sides of the equation by (67.139534883721) to get x
100/67.139534883721=x
1.4894354000693=x
x=1.4894354000693

now we have:
7.74 is 1.4894354000693% of 519.66