35.83 is what percent of 37.19 - 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 37.19 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 37.19, so we can write it down as 100%=37.19.
4. We know, that x% equals 35.83 of the output value, so we can write it down as x%=35.83.
5. Now we have two simple equations:
1) 100%=37.19
2) x%=35.83
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%=37.19/35.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.83 is what percent of 37.19

100%/x%=37.19/35.83
(100/x)*x=(37.19/35.83)*x       - we multiply both sides of the equation by x
100=1.0379570192576*x       - we divide both sides of the equation by (1.0379570192576) to get x
100/1.0379570192576=x
96.343102984673=x
x=96.343102984673

now we have:
35.83 is 96.343102984673% of 37.19