335.95 is what percent of 456.8 - 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 456.8 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 456.8, so we can write it down as 100%=456.8.
4. We know, that x% equals 335.95 of the output value, so we can write it down as x%=335.95.
5. Now we have two simple equations:
1) 100%=456.8
2) x%=335.95
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%=456.8/335.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 335.95 is what percent of 456.8

100%/x%=456.8/335.95
(100/x)*x=(456.8/335.95)*x       - we multiply both sides of the equation by x
100=1.3597261497247*x       - we divide both sides of the equation by (1.3597261497247) to get x
100/1.3597261497247=x
73.544220665499=x
x=73.544220665499

now we have:
335.95 is 73.544220665499% of 456.8