710.75 is what percent of 910 - 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 910 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 910, so we can write it down as 100%=910.
4. We know, that x% equals 710.75 of the output value, so we can write it down as x%=710.75.
5. Now we have two simple equations:
1) 100%=910
2) x%=710.75
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%=910/710.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 710.75 is what percent of 910

100%/x%=910/710.75
(100/x)*x=(910/710.75)*x       - we multiply both sides of the equation by x
100=1.2803376714738*x       - we divide both sides of the equation by (1.2803376714738) to get x
100/1.2803376714738=x
78.104395604396=x
x=78.104395604396

now we have:
710.75 is 78.104395604396% of 910