What is 97.41 percent of 306.37 - 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 306.37 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 306.37 is 100%, so we can write it down as 306.37=100%.
4. We know, that x is 97.41% of the output value, so we can write it down as x=97.41%.
5. Now we have two simple equations:
1) 306.37=100%
2) x=97.41%
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:
306.37/x=100%/97.41%
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 97.41% of 306.37

306.37/x=100/97.41
(306.37/x)*x=(100/97.41)*x       - we multiply both sides of the equation by x
306.37=1.0265886459296*x       - we divide both sides of the equation by (1.0265886459296) to get x
306.37/1.0265886459296=x
298.435017=x
x=298.435017

now we have:
97.41% of 306.37=298.435017