133.69 is what percent of 1364.23 - 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 1364.23 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 1364.23, so we can write it down as 100%=1364.23.
4. We know, that x% equals 133.69 of the output value, so we can write it down as x%=133.69.
5. Now we have two simple equations:
1) 100%=1364.23
2) x%=133.69
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%=1364.23/133.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 133.69 is what percent of 1364.23

100%/x%=1364.23/133.69
(100/x)*x=(1364.23/133.69)*x       - we multiply both sides of the equation by x
100=10.204428154686*x       - we divide both sides of the equation by (10.204428154686) to get x
100/10.204428154686=x
9.7996672115406=x
x=9.7996672115406

now we have:
133.69 is 9.7996672115406% of 1364.23