1.89 is what percent of 24.9 - 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 24.9 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 24.9, so we can write it down as 100%=24.9.
4. We know, that x% equals 1.89 of the output value, so we can write it down as x%=1.89.
5. Now we have two simple equations:
1) 100%=24.9
2) x%=1.89
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%=24.9/1.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.89 is what percent of 24.9

100%/x%=24.9/1.89
(100/x)*x=(24.9/1.89)*x       - we multiply both sides of the equation by x
100=13.174603174603*x       - we divide both sides of the equation by (13.174603174603) to get x
100/13.174603174603=x
7.5903614457831=x
x=7.5903614457831

now we have:
1.89 is 7.5903614457831% of 24.9