3.57 is what percent of 40.49 - 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 40.49 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 40.49, so we can write it down as 100%=40.49.
4. We know, that x% equals 3.57 of the output value, so we can write it down as x%=3.57.
5. Now we have two simple equations:
1) 100%=40.49
2) x%=3.57
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%=40.49/3.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.57 is what percent of 40.49

100%/x%=40.49/3.57
(100/x)*x=(40.49/3.57)*x       - we multiply both sides of the equation by x
100=11.341736694678*x       - we divide both sides of the equation by (11.341736694678) to get x
100/11.341736694678=x
8.8169918498395=x
x=8.8169918498395

now we have:
3.57 is 8.8169918498395% of 40.49