1801.6 is what percent of 7206.4 - 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 7206.4 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 7206.4, so we can write it down as 100%=7206.4.
4. We know, that x% equals 1801.6 of the output value, so we can write it down as x%=1801.6.
5. Now we have two simple equations:
1) 100%=7206.4
2) x%=1801.6
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%=7206.4/1801.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1801.6 is what percent of 7206.4

100%/x%=7206.4/1801.6
(100/x)*x=(7206.4/1801.6)*x       - we multiply both sides of the equation by x
100=4*x       - we divide both sides of the equation by (4) to get x
100/4=x
25=x
x=25

now we have:
1801.6 is 25% of 7206.4