1309.38 is what percent of 1913.12 - 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 1913.12 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 1913.12, so we can write it down as 100%=1913.12.
4. We know, that x% equals 1309.38 of the output value, so we can write it down as x%=1309.38.
5. Now we have two simple equations:
1) 100%=1913.12
2) x%=1309.38
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%=1913.12/1309.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1309.38 is what percent of 1913.12

100%/x%=1913.12/1309.38
(100/x)*x=(1913.12/1309.38)*x       - we multiply both sides of the equation by x
100=1.4610884540775*x       - we divide both sides of the equation by (1.4610884540775) to get x
100/1.4610884540775=x
68.442125951326=x
x=68.442125951326

now we have:
1309.38 is 68.442125951326% of 1913.12