What is 75.16 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 75.16% of the output value, so we can write it down as x=75.16%.
5. Now we have two simple equations:
1) 1020=100%
2) x=75.16%
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%/75.16%
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 75.16% of 1020

1020/x=100/75.16
(1020/x)*x=(100/75.16)*x       - we multiply both sides of the equation by x
1020=1.3304949441192*x       - we divide both sides of the equation by (1.3304949441192) to get x
1020/1.3304949441192=x
766.632=x
x=766.632

now we have:
75.16% of 1020=766.632