29.58 is what percent of 174.02 - 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 174.02 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 174.02, so we can write it down as 100%=174.02.
4. We know, that x% equals 29.58 of the output value, so we can write it down as x%=29.58.
5. Now we have two simple equations:
1) 100%=174.02
2) x%=29.58
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%=174.02/29.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.58 is what percent of 174.02

100%/x%=174.02/29.58
(100/x)*x=(174.02/29.58)*x       - we multiply both sides of the equation by x
100=5.8830290736984*x       - we divide both sides of the equation by (5.8830290736984) to get x
100/5.8830290736984=x
16.998046201586=x
x=16.998046201586

now we have:
29.58 is 16.998046201586% of 174.02