4769.99 is what percent of 5299.99 - 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 5299.99 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 5299.99, so we can write it down as 100%=5299.99.
4. We know, that x% equals 4769.99 of the output value, so we can write it down as x%=4769.99.
5. Now we have two simple equations:
1) 100%=5299.99
2) x%=4769.99
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%=5299.99/4769.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4769.99 is what percent of 5299.99

100%/x%=5299.99/4769.99
(100/x)*x=(5299.99/4769.99)*x       - we multiply both sides of the equation by x
100=1.1111113440489*x       - we divide both sides of the equation by (1.1111113440489) to get x
100/1.1111113440489=x
89.99998113204=x
x=89.99998113204

now we have:
4769.99 is 89.99998113204% of 5299.99