35.67 is what percent of 40 - 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 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, so we can write it down as 100%=40.
4. We know, that x% equals 35.67 of the output value, so we can write it down as x%=35.67.
5. Now we have two simple equations:
1) 100%=40
2) x%=35.67
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%=40/35.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.67 is what percent of 40

100%/x%=40/35.67
(100/x)*x=(40/35.67)*x       - we multiply both sides of the equation by x
100=1.1213905242501*x       - we divide both sides of the equation by (1.1213905242501) to get x
100/1.1213905242501=x
89.175=x
x=89.175

now we have:
35.67 is 89.175% of 40