66.98 is what percent of 512.46 - 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 512.46 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 512.46, so we can write it down as 100%=512.46.
4. We know, that x% equals 66.98 of the output value, so we can write it down as x%=66.98.
5. Now we have two simple equations:
1) 100%=512.46
2) x%=66.98
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%=512.46/66.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.98 is what percent of 512.46

100%/x%=512.46/66.98
(100/x)*x=(512.46/66.98)*x       - we multiply both sides of the equation by x
100=7.6509405792774*x       - we divide both sides of the equation by (7.6509405792774) to get x
100/7.6509405792774=x
13.070288412754=x
x=13.070288412754

now we have:
66.98 is 13.070288412754% of 512.46