11.4 is what percent of 35.96 - 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 35.96 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 35.96, so we can write it down as 100%=35.96.
4. We know, that x% equals 11.4 of the output value, so we can write it down as x%=11.4.
5. Now we have two simple equations:
1) 100%=35.96
2) x%=11.4
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%=35.96/11.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.4 is what percent of 35.96

100%/x%=35.96/11.4
(100/x)*x=(35.96/11.4)*x       - we multiply both sides of the equation by x
100=3.1543859649123*x       - we divide both sides of the equation by (3.1543859649123) to get x
100/3.1543859649123=x
31.701890989989=x
x=31.701890989989

now we have:
11.4 is 31.701890989989% of 35.96