What is 852.5 percent of 1550 - 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 1550 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 1550 is 100%, so we can write it down as 1550=100%.
4. We know, that x is 852.5% of the output value, so we can write it down as x=852.5%.
5. Now we have two simple equations:
1) 1550=100%
2) x=852.5%
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:
1550/x=100%/852.5%
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 852.5% of 1550

1550/x=100/852.5
(1550/x)*x=(100/852.5)*x       - we multiply both sides of the equation by x
1550=0.11730205278592*x       - we divide both sides of the equation by (0.11730205278592) to get x
1550/0.11730205278592=x
13213.75=x
x=13213.75

now we have:
852.5% of 1550=13213.75