189.75 is what percent of 1913.33 - 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 1913.33 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 1913.33, so we can write it down as 100%=1913.33.
4. We know, that x% equals 189.75 of the output value, so we can write it down as x%=189.75.
5. Now we have two simple equations:
1) 100%=1913.33
2) x%=189.75
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%=1913.33/189.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 189.75 is what percent of 1913.33

100%/x%=1913.33/189.75
(100/x)*x=(1913.33/189.75)*x       - we multiply both sides of the equation by x
100=10.083425559947*x       - we divide both sides of the equation by (10.083425559947) to get x
100/10.083425559947=x
9.9172646642242=x
x=9.9172646642242

now we have:
189.75 is 9.9172646642242% of 1913.33