What is 1375 percent of 625 - 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 625 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 625 is 100%, so we can write it down as 625=100%.
4. We know, that x is 1375% of the output value, so we can write it down as x=1375%.
5. Now we have two simple equations:
1) 625=100%
2) x=1375%
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:
625/x=100%/1375%
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 1375% of 625

625/x=100/1375
(625/x)*x=(100/1375)*x       - we multiply both sides of the equation by x
625=0.072727272727273*x       - we divide both sides of the equation by (0.072727272727273) to get x
625/0.072727272727273=x
8593.75=x
x=8593.75

now we have:
1375% of 625=8593.75