364.96 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 364.96 of the output value, so we can write it down as x%=364.96.
5. Now we have two simple equations:
1) 100%=1500
2) x%=364.96
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%=1500/364.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 364.96 is what percent of 1500

100%/x%=1500/364.96
(100/x)*x=(1500/364.96)*x       - we multiply both sides of the equation by x
100=4.1100394563788*x       - we divide both sides of the equation by (4.1100394563788) to get x
100/4.1100394563788=x
24.330666666667=x
x=24.330666666667

now we have:
364.96 is 24.330666666667% of 1500