93.35 is what percent of 204.2 - 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 204.2 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 204.2, so we can write it down as 100%=204.2.
4. We know, that x% equals 93.35 of the output value, so we can write it down as x%=93.35.
5. Now we have two simple equations:
1) 100%=204.2
2) x%=93.35
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%=204.2/93.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 93.35 is what percent of 204.2

100%/x%=204.2/93.35
(100/x)*x=(204.2/93.35)*x       - we multiply both sides of the equation by x
100=2.187466523835*x       - we divide both sides of the equation by (2.187466523835) to get x
100/2.187466523835=x
45.714985308521=x
x=45.714985308521

now we have:
93.35 is 45.714985308521% of 204.2