2102.99 is what percent of 4979.35 - 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 4979.35 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 4979.35, so we can write it down as 100%=4979.35.
4. We know, that x% equals 2102.99 of the output value, so we can write it down as x%=2102.99.
5. Now we have two simple equations:
1) 100%=4979.35
2) x%=2102.99
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%=4979.35/2102.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2102.99 is what percent of 4979.35

100%/x%=4979.35/2102.99
(100/x)*x=(4979.35/2102.99)*x       - we multiply both sides of the equation by x
100=2.3677478257148*x       - we divide both sides of the equation by (2.3677478257148) to get x
100/2.3677478257148=x
42.234227358993=x
x=42.234227358993

now we have:
2102.99 is 42.234227358993% of 4979.35