2442.34 is what percent of 7500 - 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 7500 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 7500, so we can write it down as 100%=7500.
4. We know, that x% equals 2442.34 of the output value, so we can write it down as x%=2442.34.
5. Now we have two simple equations:
1) 100%=7500
2) x%=2442.34
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%=7500/2442.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2442.34 is what percent of 7500

100%/x%=7500/2442.34
(100/x)*x=(7500/2442.34)*x       - we multiply both sides of the equation by x
100=3.0708255197884*x       - we divide both sides of the equation by (3.0708255197884) to get x
100/3.0708255197884=x
32.564533333333=x
x=32.564533333333

now we have:
2442.34 is 32.564533333333% of 7500