What is 87.88 percent of 1020 - 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 1020 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 1020 is 100%, so we can write it down as 1020=100%.
4. We know, that x is 87.88% of the output value, so we can write it down as x=87.88%.
5. Now we have two simple equations:
1) 1020=100%
2) x=87.88%
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:
1020/x=100%/87.88%
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 87.88% of 1020

1020/x=100/87.88
(1020/x)*x=(100/87.88)*x       - we multiply both sides of the equation by x
1020=1.1379153390988*x       - we divide both sides of the equation by (1.1379153390988) to get x
1020/1.1379153390988=x
896.376=x
x=896.376

now we have:
87.88% of 1020=896.376