40.29 is what percent of 1086.36 - 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 1086.36 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 1086.36, so we can write it down as 100%=1086.36.
4. We know, that x% equals 40.29 of the output value, so we can write it down as x%=40.29.
5. Now we have two simple equations:
1) 100%=1086.36
2) x%=40.29
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%=1086.36/40.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.29 is what percent of 1086.36

100%/x%=1086.36/40.29
(100/x)*x=(1086.36/40.29)*x       - we multiply both sides of the equation by x
100=26.963514519732*x       - we divide both sides of the equation by (26.963514519732) to get x
100/26.963514519732=x
3.7087153429802=x
x=3.7087153429802

now we have:
40.29 is 3.7087153429802% of 1086.36