67.6 is what percent of 521.6 - 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 521.6 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 521.6, so we can write it down as 100%=521.6.
4. We know, that x% equals 67.6 of the output value, so we can write it down as x%=67.6.
5. Now we have two simple equations:
1) 100%=521.6
2) x%=67.6
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%=521.6/67.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.6 is what percent of 521.6

100%/x%=521.6/67.6
(100/x)*x=(521.6/67.6)*x       - we multiply both sides of the equation by x
100=7.7159763313609*x       - we divide both sides of the equation by (7.7159763313609) to get x
100/7.7159763313609=x
12.960122699387=x
x=12.960122699387

now we have:
67.6 is 12.960122699387% of 521.6