446.69 is what percent of 1500 - 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 1500 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 1500, so we can write it down as 100%=1500.
4. We know, that x% equals 446.69 of the output value, so we can write it down as x%=446.69.
5. Now we have two simple equations:
1) 100%=1500
2) x%=446.69
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%=1500/446.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 446.69 is what percent of 1500

100%/x%=1500/446.69
(100/x)*x=(1500/446.69)*x       - we multiply both sides of the equation by x
100=3.3580335355616*x       - we divide both sides of the equation by (3.3580335355616) to get x
100/3.3580335355616=x
29.779333333333=x
x=29.779333333333

now we have:
446.69 is 29.779333333333% of 1500