35.68 is what percent of 254 - 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 254 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 254, so we can write it down as 100%=254.
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%=254
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%=254/35.68
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 254

100%/x%=254/35.68
(100/x)*x=(254/35.68)*x       - we multiply both sides of the equation by x
100=7.1188340807175*x       - we divide both sides of the equation by (7.1188340807175) to get x
100/7.1188340807175=x
14.047244094488=x
x=14.047244094488

now we have:
35.68 is 14.047244094488% of 254