What is 61.379310344828 percent of 46.25 - 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 46.25 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 46.25 is 100%, so we can write it down as 46.25=100%.
4. We know, that x is 61.379310344828% of the output value, so we can write it down as x=61.379310344828%.
5. Now we have two simple equations:
1) 46.25=100%
2) x=61.379310344828%
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:
46.25/x=100%/61.379310344828%
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 61.379310344828% of 46.25

46.25/x=100/61.379310344828
(46.25/x)*x=(100/61.379310344828)*x       - we multiply both sides of the equation by x
46.25=1.6292134831461*x       - we divide both sides of the equation by (1.6292134831461) to get x
46.25/1.6292134831461=x
28.387931034483=x
x=28.387931034483

now we have:
61.379310344828% of 46.25=28.387931034483