3.62 is what percent of 35.41 - 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 35.41 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 35.41, so we can write it down as 100%=35.41.
4. We know, that x% equals 3.62 of the output value, so we can write it down as x%=3.62.
5. Now we have two simple equations:
1) 100%=35.41
2) x%=3.62
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%=35.41/3.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.62 is what percent of 35.41

100%/x%=35.41/3.62
(100/x)*x=(35.41/3.62)*x       - we multiply both sides of the equation by x
100=9.7817679558011*x       - we divide both sides of the equation by (9.7817679558011) to get x
100/9.7817679558011=x
10.223100818978=x
x=10.223100818978

now we have:
3.62 is 10.223100818978% of 35.41