973.2 is what percent of 25253.12 - 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 25253.12 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 25253.12, so we can write it down as 100%=25253.12.
4. We know, that x% equals 973.2 of the output value, so we can write it down as x%=973.2.
5. Now we have two simple equations:
1) 100%=25253.12
2) x%=973.2
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%=25253.12/973.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 973.2 is what percent of 25253.12

100%/x%=25253.12/973.2
(100/x)*x=(25253.12/973.2)*x       - we multiply both sides of the equation by x
100=25.948540896013*x       - we divide both sides of the equation by (25.948540896013) to get x
100/25.948540896013=x
3.8537812357443=x
x=3.8537812357443

now we have:
973.2 is 3.8537812357443% of 25253.12