What is 58.64 percent of 71.48 - 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 71.48 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 71.48 is 100%, so we can write it down as 71.48=100%.
4. We know, that x is 58.64% of the output value, so we can write it down as x=58.64%.
5. Now we have two simple equations:
1) 71.48=100%
2) x=58.64%
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:
71.48/x=100%/58.64%
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 58.64% of 71.48

71.48/x=100/58.64
(71.48/x)*x=(100/58.64)*x       - we multiply both sides of the equation by x
71.48=1.7053206002729*x       - we divide both sides of the equation by (1.7053206002729) to get x
71.48/1.7053206002729=x
41.915872=x
x=41.915872

now we have:
58.64% of 71.48=41.915872