35.68 is what percent of 278.75 - 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 278.75 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 278.75, so we can write it down as 100%=278.75.
4. We know, that x% equals 35.68 of the output value, so we can write it down as x%=35.68.
5. Now we have two simple equations:
1) 100%=278.75
2) x%=35.68
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%=278.75/35.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.68 is what percent of 278.75

100%/x%=278.75/35.68
(100/x)*x=(278.75/35.68)*x       - we multiply both sides of the equation by x
100=7.8125*x       - we divide both sides of the equation by (7.8125) to get x
100/7.8125=x
12.8=x
x=12.8

now we have:
35.68 is 12.8% of 278.75