180.1 is what percent of 1369.49 - 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 1369.49 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 1369.49, so we can write it down as 100%=1369.49.
4. We know, that x% equals 180.1 of the output value, so we can write it down as x%=180.1.
5. Now we have two simple equations:
1) 100%=1369.49
2) x%=180.1
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%=1369.49/180.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 180.1 is what percent of 1369.49

100%/x%=1369.49/180.1
(100/x)*x=(1369.49/180.1)*x       - we multiply both sides of the equation by x
100=7.6040533037202*x       - we divide both sides of the equation by (7.6040533037202) to get x
100/7.6040533037202=x
13.150880984892=x
x=13.150880984892

now we have:
180.1 is 13.150880984892% of 1369.49