96.9 is what percent of 4820 - 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 4820 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 4820, so we can write it down as 100%=4820.
4. We know, that x% equals 96.9 of the output value, so we can write it down as x%=96.9.
5. Now we have two simple equations:
1) 100%=4820
2) x%=96.9
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%=4820/96.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.9 is what percent of 4820

100%/x%=4820/96.9
(100/x)*x=(4820/96.9)*x       - we multiply both sides of the equation by x
100=49.742002063983*x       - we divide both sides of the equation by (49.742002063983) to get x
100/49.742002063983=x
2.0103734439834=x
x=2.0103734439834

now we have:
96.9 is 2.0103734439834% of 4820