306.44 is what percent of 450.64 - 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 450.64 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 450.64, so we can write it down as 100%=450.64.
4. We know, that x% equals 306.44 of the output value, so we can write it down as x%=306.44.
5. Now we have two simple equations:
1) 100%=450.64
2) x%=306.44
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%=450.64/306.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 306.44 is what percent of 450.64

100%/x%=450.64/306.44
(100/x)*x=(450.64/306.44)*x       - we multiply both sides of the equation by x
100=1.4705652003655*x       - we divide both sides of the equation by (1.4705652003655) to get x
100/1.4705652003655=x
68.001065151784=x
x=68.001065151784

now we have:
306.44 is 68.001065151784% of 450.64