744.2 is what percent of 10.758 - 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 10.758 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 10.758, so we can write it down as 100%=10.758.
4. We know, that x% equals 744.2 of the output value, so we can write it down as x%=744.2.
5. Now we have two simple equations:
1) 100%=10.758
2) x%=744.2
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%=10.758/744.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 744.2 is what percent of 10.758

100%/x%=10.758/744.2
(100/x)*x=(10.758/744.2)*x       - we multiply both sides of the equation by x
100=0.01445579145391*x       - we divide both sides of the equation by (0.01445579145391) to get x
100/0.01445579145391=x
6917.6426845139=x
x=6917.6426845139

now we have:
744.2 is 6917.6426845139% of 10.758