148.33 is what percent of 1663 - 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 1663 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 1663, so we can write it down as 100%=1663.
4. We know, that x% equals 148.33 of the output value, so we can write it down as x%=148.33.
5. Now we have two simple equations:
1) 100%=1663
2) x%=148.33
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%=1663/148.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 148.33 is what percent of 1663

100%/x%=1663/148.33
(100/x)*x=(1663/148.33)*x       - we multiply both sides of the equation by x
100=11.211487898604*x       - we divide both sides of the equation by (11.211487898604) to get x
100/11.211487898604=x
8.919422730006=x
x=8.919422730006

now we have:
148.33 is 8.919422730006% of 1663