What is 106 percent of 46 - 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 46 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 46 is 100%, so we can write it down as 46=100%.
4. We know, that x is 106% of the output value, so we can write it down as x=106%.
5. Now we have two simple equations:
1) 46=100%
2) x=106%
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:
46/x=100%/106%
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 106% of 46

46/x=100/106
(46/x)*x=(100/106)*x       - we multiply both sides of the equation by x
46=0.94339622641509*x       - we divide both sides of the equation by (0.94339622641509) to get x
46/0.94339622641509=x
48.76=x
x=48.76

now we have:
106% of 46=48.76