387.45 is what percent of 4500 - 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 4500 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 4500, so we can write it down as 100%=4500.
4. We know, that x% equals 387.45 of the output value, so we can write it down as x%=387.45.
5. Now we have two simple equations:
1) 100%=4500
2) x%=387.45
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%=4500/387.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 387.45 is what percent of 4500

100%/x%=4500/387.45
(100/x)*x=(4500/387.45)*x       - we multiply both sides of the equation by x
100=11.614401858304*x       - we divide both sides of the equation by (11.614401858304) to get x
100/11.614401858304=x
8.61=x
x=8.61

now we have:
387.45 is 8.61% of 4500