2.68 is what percent of 35.288 - 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 35.288 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 35.288, so we can write it down as 100%=35.288.
4. We know, that x% equals 2.68 of the output value, so we can write it down as x%=2.68.
5. Now we have two simple equations:
1) 100%=35.288
2) x%=2.68
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%=35.288/2.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.68 is what percent of 35.288

100%/x%=35.288/2.68
(100/x)*x=(35.288/2.68)*x       - we multiply both sides of the equation by x
100=13.167164179104*x       - we divide both sides of the equation by (13.167164179104) to get x
100/13.167164179104=x
7.5946497392881=x
x=7.5946497392881

now we have:
2.68 is 7.5946497392881% of 35.288