29.92 is what percent of 149.83 - 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 149.83 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 149.83, so we can write it down as 100%=149.83.
4. We know, that x% equals 29.92 of the output value, so we can write it down as x%=29.92.
5. Now we have two simple equations:
1) 100%=149.83
2) x%=29.92
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%=149.83/29.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.92 is what percent of 149.83

100%/x%=149.83/29.92
(100/x)*x=(149.83/29.92)*x       - we multiply both sides of the equation by x
100=5.0076871657754*x       - we divide both sides of the equation by (5.0076871657754) to get x
100/5.0076871657754=x
19.969298538343=x
x=19.969298538343

now we have:
29.92 is 19.969298538343% of 149.83