35.64 is what percent of 240.3 - 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 240.3 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 240.3, so we can write it down as 100%=240.3.
4. We know, that x% equals 35.64 of the output value, so we can write it down as x%=35.64.
5. Now we have two simple equations:
1) 100%=240.3
2) x%=35.64
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%=240.3/35.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.64 is what percent of 240.3

100%/x%=240.3/35.64
(100/x)*x=(240.3/35.64)*x       - we multiply both sides of the equation by x
100=6.7424242424242*x       - we divide both sides of the equation by (6.7424242424242) to get x
100/6.7424242424242=x
14.831460674157=x
x=14.831460674157

now we have:
35.64 is 14.831460674157% of 240.3