What is 41.472 percent of 97.765 - 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 97.765 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 97.765 is 100%, so we can write it down as 97.765=100%.
4. We know, that x is 41.472% of the output value, so we can write it down as x=41.472%.
5. Now we have two simple equations:
1) 97.765=100%
2) x=41.472%
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:
97.765/x=100%/41.472%
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 41.472% of 97.765

97.765/x=100/41.472
(97.765/x)*x=(100/41.472)*x       - we multiply both sides of the equation by x
97.765=2.4112654320988*x       - we divide both sides of the equation by (2.4112654320988) to get x
97.765/2.4112654320988=x
40.5451008=x
x=40.5451008

now we have:
41.472% of 97.765=40.5451008