1248.34 is what percent of 1609.2 - 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 1609.2 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 1609.2, so we can write it down as 100%=1609.2.
4. We know, that x% equals 1248.34 of the output value, so we can write it down as x%=1248.34.
5. Now we have two simple equations:
1) 100%=1609.2
2) x%=1248.34
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%=1609.2/1248.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1248.34 is what percent of 1609.2

100%/x%=1609.2/1248.34
(100/x)*x=(1609.2/1248.34)*x       - we multiply both sides of the equation by x
100=1.2890718874666*x       - we divide both sides of the equation by (1.2890718874666) to get x
100/1.2890718874666=x
77.575192642307=x
x=77.575192642307

now we have:
1248.34 is 77.575192642307% of 1609.2