33.87 is what percent of 375.8 - 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 375.8 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 375.8, so we can write it down as 100%=375.8.
4. We know, that x% equals 33.87 of the output value, so we can write it down as x%=33.87.
5. Now we have two simple equations:
1) 100%=375.8
2) x%=33.87
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%=375.8/33.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.87 is what percent of 375.8

100%/x%=375.8/33.87
(100/x)*x=(375.8/33.87)*x       - we multiply both sides of the equation by x
100=11.095364629466*x       - we divide both sides of the equation by (11.095364629466) to get x
100/11.095364629466=x
9.0127727514635=x
x=9.0127727514635

now we have:
33.87 is 9.0127727514635% of 375.8