90 is what percent of 16.53 - 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 16.53 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 16.53, so we can write it down as 100%=16.53.
4. We know, that x% equals 90 of the output value, so we can write it down as x%=90.
5. Now we have two simple equations:
1) 100%=16.53
2) x%=90
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%=16.53/90
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90 is what percent of 16.53

100%/x%=16.53/90
(100/x)*x=(16.53/90)*x       - we multiply both sides of the equation by x
100=0.18366666666667*x       - we divide both sides of the equation by (0.18366666666667) to get x
100/0.18366666666667=x
544.46460980036=x
x=544.46460980036

now we have:
90 is 544.46460980036% of 16.53