824.64 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 824.64 of the output value, so we can write it down as x%=824.64.
5. Now we have two simple equations:
1) 100%=910
2) x%=824.64
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%=910/824.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 824.64 is what percent of 910

100%/x%=910/824.64
(100/x)*x=(910/824.64)*x       - we multiply both sides of the equation by x
100=1.1035118354676*x       - we divide both sides of the equation by (1.1035118354676) to get x
100/1.1035118354676=x
90.61978021978=x
x=90.61978021978

now we have:
824.64 is 90.61978021978% of 910