0.49 is what percent of 5.89 - 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 5.89 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 5.89, so we can write it down as 100%=5.89.
4. We know, that x% equals 0.49 of the output value, so we can write it down as x%=0.49.
5. Now we have two simple equations:
1) 100%=5.89
2) x%=0.49
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%=5.89/0.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.49 is what percent of 5.89

100%/x%=5.89/0.49
(100/x)*x=(5.89/0.49)*x       - we multiply both sides of the equation by x
100=12.020408163265*x       - we divide both sides of the equation by (12.020408163265) to get x
100/12.020408163265=x
8.3191850594228=x
x=8.3191850594228

now we have:
0.49 is 8.3191850594228% of 5.89