762.75 is what percent of 820 - 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 820 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 820, so we can write it down as 100%=820.
4. We know, that x% equals 762.75 of the output value, so we can write it down as x%=762.75.
5. Now we have two simple equations:
1) 100%=820
2) x%=762.75
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%=820/762.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 762.75 is what percent of 820

100%/x%=820/762.75
(100/x)*x=(820/762.75)*x       - we multiply both sides of the equation by x
100=1.0750573582432*x       - we divide both sides of the equation by (1.0750573582432) to get x
100/1.0750573582432=x
93.018292682927=x
x=93.018292682927

now we have:
762.75 is 93.018292682927% of 820