191.46 is what percent of 423.5 - 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 423.5 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 423.5, so we can write it down as 100%=423.5.
4. We know, that x% equals 191.46 of the output value, so we can write it down as x%=191.46.
5. Now we have two simple equations:
1) 100%=423.5
2) x%=191.46
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%=423.5/191.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 191.46 is what percent of 423.5

100%/x%=423.5/191.46
(100/x)*x=(423.5/191.46)*x       - we multiply both sides of the equation by x
100=2.2119502768202*x       - we divide both sides of the equation by (2.2119502768202) to get x
100/2.2119502768202=x
45.208972845336=x
x=45.208972845336

now we have:
191.46 is 45.208972845336% of 423.5