40.99 is what percent of 240.32 - 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 240.32 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 240.32, so we can write it down as 100%=240.32.
4. We know, that x% equals 40.99 of the output value, so we can write it down as x%=40.99.
5. Now we have two simple equations:
1) 100%=240.32
2) x%=40.99
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%=240.32/40.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.99 is what percent of 240.32

100%/x%=240.32/40.99
(100/x)*x=(240.32/40.99)*x       - we multiply both sides of the equation by x
100=5.8628933886314*x       - we divide both sides of the equation by (5.8628933886314) to get x
100/5.8628933886314=x
17.056424766977=x
x=17.056424766977

now we have:
40.99 is 17.056424766977% of 240.32