1.72 is what percent of 20.52 - 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 20.52 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 20.52, so we can write it down as 100%=20.52.
4. We know, that x% equals 1.72 of the output value, so we can write it down as x%=1.72.
5. Now we have two simple equations:
1) 100%=20.52
2) x%=1.72
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%=20.52/1.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.72 is what percent of 20.52

100%/x%=20.52/1.72
(100/x)*x=(20.52/1.72)*x       - we multiply both sides of the equation by x
100=11.93023255814*x       - we divide both sides of the equation by (11.93023255814) to get x
100/11.93023255814=x
8.3820662768031=x
x=8.3820662768031

now we have:
1.72 is 8.3820662768031% of 20.52