153.5 is what percent of 2163.75 - 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 2163.75 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 2163.75, so we can write it down as 100%=2163.75.
4. We know, that x% equals 153.5 of the output value, so we can write it down as x%=153.5.
5. Now we have two simple equations:
1) 100%=2163.75
2) x%=153.5
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%=2163.75/153.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 153.5 is what percent of 2163.75

100%/x%=2163.75/153.5
(100/x)*x=(2163.75/153.5)*x       - we multiply both sides of the equation by x
100=14.096091205212*x       - we divide both sides of the equation by (14.096091205212) to get x
100/14.096091205212=x
7.0941652224148=x
x=7.0941652224148

now we have:
153.5 is 7.0941652224148% of 2163.75