149.6 is what percent of 33.48 - 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 33.48 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 33.48, so we can write it down as 100%=33.48.
4. We know, that x% equals 149.6 of the output value, so we can write it down as x%=149.6.
5. Now we have two simple equations:
1) 100%=33.48
2) x%=149.6
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%=33.48/149.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.6 is what percent of 33.48

100%/x%=33.48/149.6
(100/x)*x=(33.48/149.6)*x       - we multiply both sides of the equation by x
100=0.22379679144385*x       - we divide both sides of the equation by (0.22379679144385) to get x
100/0.22379679144385=x
446.8339307049=x
x=446.8339307049

now we have:
149.6 is 446.8339307049% of 33.48