333.88 is what percent of 835.4 - 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 835.4 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 835.4, so we can write it down as 100%=835.4.
4. We know, that x% equals 333.88 of the output value, so we can write it down as x%=333.88.
5. Now we have two simple equations:
1) 100%=835.4
2) x%=333.88
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%=835.4/333.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 333.88 is what percent of 835.4

100%/x%=835.4/333.88
(100/x)*x=(835.4/333.88)*x       - we multiply both sides of the equation by x
100=2.5020965616389*x       - we divide both sides of the equation by (2.5020965616389) to get x
100/2.5020965616389=x
39.966483121858=x
x=39.966483121858

now we have:
333.88 is 39.966483121858% of 835.4