13 is what percent of 1.79 - 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 1.79 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 1.79, so we can write it down as 100%=1.79.
4. We know, that x% equals 13 of the output value, so we can write it down as x%=13.
5. Now we have two simple equations:
1) 100%=1.79
2) x%=13
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%=1.79/13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13 is what percent of 1.79

100%/x%=1.79/13
(100/x)*x=(1.79/13)*x       - we multiply both sides of the equation by x
100=0.13769230769231*x       - we divide both sides of the equation by (0.13769230769231) to get x
100/0.13769230769231=x
726.25698324022=x
x=726.25698324022

now we have:
13 is 726.25698324022% of 1.79