763.2 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 763.2 of the output value, so we can write it down as x%=763.2.
5. Now we have two simple equations:
1) 100%=910
2) x%=763.2
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%=910/763.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 763.2 is what percent of 910

100%/x%=910/763.2
(100/x)*x=(910/763.2)*x       - we multiply both sides of the equation by x
100=1.1923480083857*x       - we divide both sides of the equation by (1.1923480083857) to get x
100/1.1923480083857=x
83.868131868132=x
x=83.868131868132

now we have:
763.2 is 83.868131868132% of 910