133.44 is what percent of 1877.23 - 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 1877.23 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 1877.23, so we can write it down as 100%=1877.23.
4. We know, that x% equals 133.44 of the output value, so we can write it down as x%=133.44.
5. Now we have two simple equations:
1) 100%=1877.23
2) x%=133.44
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%=1877.23/133.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 133.44 is what percent of 1877.23

100%/x%=1877.23/133.44
(100/x)*x=(1877.23/133.44)*x       - we multiply both sides of the equation by x
100=14.067970623501*x       - we divide both sides of the equation by (14.067970623501) to get x
100/14.067970623501=x
7.1083458073864=x
x=7.1083458073864

now we have:
133.44 is 7.1083458073864% of 1877.23