97.45 is what percent of 423.2 - 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 423.2 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 100% equals 423.2, so we can write it down as 100%=423.2.
4. We know, that x% equals 97.45 of the output value, so we can write it down as x%=97.45.
5. Now we have two simple equations:
1) 100%=423.2
2) x%=97.45
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:
100%/x%=423.2/97.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.45 is what percent of 423.2

100%/x%=423.2/97.45
(100/x)*x=(423.2/97.45)*x       - we multiply both sides of the equation by x
100=4.3427398665983*x       - we divide both sides of the equation by (4.3427398665983) to get x
100/4.3427398665983=x
23.026937618147=x
x=23.026937618147

now we have:
97.45 is 23.026937618147% of 423.2