1382.5 is what percent of 27.65 - 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 27.65 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 27.65, so we can write it down as 100%=27.65.
4. We know, that x% equals 1382.5 of the output value, so we can write it down as x%=1382.5.
5. Now we have two simple equations:
1) 100%=27.65
2) x%=1382.5
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%=27.65/1382.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1382.5 is what percent of 27.65

100%/x%=27.65/1382.5
(100/x)*x=(27.65/1382.5)*x       - we multiply both sides of the equation by x
100=0.02*x       - we divide both sides of the equation by (0.02) to get x
100/0.02=x
5000=x
x=5000

now we have:
1382.5 is 5000% of 27.65