89.9 is what percent of 1731.5 - 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 1731.5 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 1731.5, so we can write it down as 100%=1731.5.
4. We know, that x% equals 89.9 of the output value, so we can write it down as x%=89.9.
5. Now we have two simple equations:
1) 100%=1731.5
2) x%=89.9
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%=1731.5/89.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.9 is what percent of 1731.5

100%/x%=1731.5/89.9
(100/x)*x=(1731.5/89.9)*x       - we multiply both sides of the equation by x
100=19.260289210234*x       - we divide both sides of the equation by (19.260289210234) to get x
100/19.260289210234=x
5.1920300317644=x
x=5.1920300317644

now we have:
89.9 is 5.1920300317644% of 1731.5