120.87 is what 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 100% equals 1020, so we can write it down as 100%=1020.
4. We know, that x% equals 120.87 of the output value, so we can write it down as x%=120.87.
5. Now we have two simple equations:
1) 100%=1020
2) x%=120.87
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%=1020/120.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 120.87 is what percent of 1020

100%/x%=1020/120.87
(100/x)*x=(1020/120.87)*x       - we multiply both sides of the equation by x
100=8.4388185654008*x       - we divide both sides of the equation by (8.4388185654008) to get x
100/8.4388185654008=x
11.85=x
x=11.85

now we have:
120.87 is 11.85% of 1020