399.68 is what percent of 1.186 - 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 1.186 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 1.186, so we can write it down as 100%=1.186.
4. We know, that x% equals 399.68 of the output value, so we can write it down as x%=399.68.
5. Now we have two simple equations:
1) 100%=1.186
2) x%=399.68
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%=1.186/399.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 399.68 is what percent of 1.186

100%/x%=1.186/399.68
(100/x)*x=(1.186/399.68)*x       - we multiply both sides of the equation by x
100=0.0029673738991193*x       - we divide both sides of the equation by (0.0029673738991193) to get x
100/0.0029673738991193=x
33699.831365936=x
x=33699.831365936

now we have:
399.68 is 33699.831365936% of 1.186