335.57 is what percent of 1074.8 - 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 1074.8 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 1074.8, so we can write it down as 100%=1074.8.
4. We know, that x% equals 335.57 of the output value, so we can write it down as x%=335.57.
5. Now we have two simple equations:
1) 100%=1074.8
2) x%=335.57
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%=1074.8/335.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 335.57 is what percent of 1074.8

100%/x%=1074.8/335.57
(100/x)*x=(1074.8/335.57)*x       - we multiply both sides of the equation by x
100=3.2029084840719*x       - we divide both sides of the equation by (3.2029084840719) to get x
100/3.2029084840719=x
31.221622627466=x
x=31.221622627466

now we have:
335.57 is 31.221622627466% of 1074.8