225.72 is what percent of 7400 - 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 7400 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 7400, so we can write it down as 100%=7400.
4. We know, that x% equals 225.72 of the output value, so we can write it down as x%=225.72.
5. Now we have two simple equations:
1) 100%=7400
2) x%=225.72
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%=7400/225.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 225.72 is what percent of 7400

100%/x%=7400/225.72
(100/x)*x=(7400/225.72)*x       - we multiply both sides of the equation by x
100=32.783980152401*x       - we divide both sides of the equation by (32.783980152401) to get x
100/32.783980152401=x
3.0502702702703=x
x=3.0502702702703

now we have:
225.72 is 3.0502702702703% of 7400