167.08 is what percent of 396.5 - 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 396.5 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 396.5, so we can write it down as 100%=396.5.
4. We know, that x% equals 167.08 of the output value, so we can write it down as x%=167.08.
5. Now we have two simple equations:
1) 100%=396.5
2) x%=167.08
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%=396.5/167.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 167.08 is what percent of 396.5

100%/x%=396.5/167.08
(100/x)*x=(396.5/167.08)*x       - we multiply both sides of the equation by x
100=2.3731146756045*x       - we divide both sides of the equation by (2.3731146756045) to get x
100/2.3731146756045=x
42.138713745271=x
x=42.138713745271

now we have:
167.08 is 42.138713745271% of 396.5