What is 1.575 percent of 9645 - 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 9645 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 9645 is 100%, so we can write it down as 9645=100%.
4. We know, that x is 1.575% of the output value, so we can write it down as x=1.575%.
5. Now we have two simple equations:
1) 9645=100%
2) x=1.575%
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:
9645/x=100%/1.575%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 1.575% of 9645

9645/x=100/1.575
(9645/x)*x=(100/1.575)*x       - we multiply both sides of the equation by x
9645=63.492063492063*x       - we divide both sides of the equation by (63.492063492063) to get x
9645/63.492063492063=x
151.90875=x
x=151.90875

now we have:
1.575% of 9645=151.90875