40 is what percent of 92.18 - 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 92.18 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 92.18, so we can write it down as 100%=92.18.
4. We know, that x% equals 40 of the output value, so we can write it down as x%=40.
5. Now we have two simple equations:
1) 100%=92.18
2) x%=40
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%=92.18/40
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40 is what percent of 92.18

100%/x%=92.18/40
(100/x)*x=(92.18/40)*x       - we multiply both sides of the equation by x
100=2.3045*x       - we divide both sides of the equation by (2.3045) to get x
100/2.3045=x
43.393360815795=x
x=43.393360815795

now we have:
40 is 43.393360815795% of 92.18