68.74 is what percent of 516 - 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 516 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 516, so we can write it down as 100%=516.
4. We know, that x% equals 68.74 of the output value, so we can write it down as x%=68.74.
5. Now we have two simple equations:
1) 100%=516
2) x%=68.74
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%=516/68.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 68.74 is what percent of 516

100%/x%=516/68.74
(100/x)*x=(516/68.74)*x       - we multiply both sides of the equation by x
100=7.5065464067501*x       - we divide both sides of the equation by (7.5065464067501) to get x
100/7.5065464067501=x
13.321705426357=x
x=13.321705426357

now we have:
68.74 is 13.321705426357% of 516