133.88 is what percent of 949.1 - 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 949.1 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 949.1, so we can write it down as 100%=949.1.
4. We know, that x% equals 133.88 of the output value, so we can write it down as x%=133.88.
5. Now we have two simple equations:
1) 100%=949.1
2) x%=133.88
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%=949.1/133.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 133.88 is what percent of 949.1

100%/x%=949.1/133.88
(100/x)*x=(949.1/133.88)*x       - we multiply both sides of the equation by x
100=7.0891843441888*x       - we divide both sides of the equation by (7.0891843441888) to get x
100/7.0891843441888=x
14.105995153303=x
x=14.105995153303

now we have:
133.88 is 14.105995153303% of 949.1