46.1 is what percent of 66.8 - 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 66.8 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 66.8, so we can write it down as 100%=66.8.
4. We know, that x% equals 46.1 of the output value, so we can write it down as x%=46.1.
5. Now we have two simple equations:
1) 100%=66.8
2) x%=46.1
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%=66.8/46.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.1 is what percent of 66.8

100%/x%=66.8/46.1
(100/x)*x=(66.8/46.1)*x       - we multiply both sides of the equation by x
100=1.4490238611714*x       - we divide both sides of the equation by (1.4490238611714) to get x
100/1.4490238611714=x
69.011976047904=x
x=69.011976047904

now we have:
46.1 is 69.011976047904% of 66.8