5.85 is what percent of 40.22 - 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 40.22 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 40.22, so we can write it down as 100%=40.22.
4. We know, that x% equals 5.85 of the output value, so we can write it down as x%=5.85.
5. Now we have two simple equations:
1) 100%=40.22
2) x%=5.85
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%=40.22/5.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.85 is what percent of 40.22

100%/x%=40.22/5.85
(100/x)*x=(40.22/5.85)*x       - we multiply both sides of the equation by x
100=6.8752136752137*x       - we divide both sides of the equation by (6.8752136752137) to get x
100/6.8752136752137=x
14.545002486325=x
x=14.545002486325

now we have:
5.85 is 14.545002486325% of 40.22