What is 0.961 percent of 49 - 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 49 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 49 is 100%, so we can write it down as 49=100%.
4. We know, that x is 0.961% of the output value, so we can write it down as x=0.961%.
5. Now we have two simple equations:
1) 49=100%
2) x=0.961%
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:
49/x=100%/0.961%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 0.961% of 49

49/x=100/0.961
(49/x)*x=(100/0.961)*x       - we multiply both sides of the equation by x
49=104.05827263267*x       - we divide both sides of the equation by (104.05827263267) to get x
49/104.05827263267=x
0.47089=x
x=0.47089

now we have:
0.961% of 49=0.47089