467.34 is what percent of 2500 - 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 2500 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 2500, so we can write it down as 100%=2500.
4. We know, that x% equals 467.34 of the output value, so we can write it down as x%=467.34.
5. Now we have two simple equations:
1) 100%=2500
2) x%=467.34
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%=2500/467.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 467.34 is what percent of 2500

100%/x%=2500/467.34
(100/x)*x=(2500/467.34)*x       - we multiply both sides of the equation by x
100=5.3494244019344*x       - we divide both sides of the equation by (5.3494244019344) to get x
100/5.3494244019344=x
18.6936=x
x=18.6936

now we have:
467.34 is 18.6936% of 2500