99.49 is what percent of 3379.62 - 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 3379.62 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 3379.62, so we can write it down as 100%=3379.62.
4. We know, that x% equals 99.49 of the output value, so we can write it down as x%=99.49.
5. Now we have two simple equations:
1) 100%=3379.62
2) x%=99.49
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%=3379.62/99.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.49 is what percent of 3379.62

100%/x%=3379.62/99.49
(100/x)*x=(3379.62/99.49)*x       - we multiply both sides of the equation by x
100=33.969444165243*x       - we divide both sides of the equation by (33.969444165243) to get x
100/33.969444165243=x
2.9438220865068=x
x=2.9438220865068

now we have:
99.49 is 2.9438220865068% of 3379.62