What is 104.6 percent of 1164 - 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 1164 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 1164 is 100%, so we can write it down as 1164=100%.
4. We know, that x is 104.6% of the output value, so we can write it down as x=104.6%.
5. Now we have two simple equations:
1) 1164=100%
2) x=104.6%
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:
1164/x=100%/104.6%
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 104.6% of 1164

1164/x=100/104.6
(1164/x)*x=(100/104.6)*x       - we multiply both sides of the equation by x
1164=0.95602294455067*x       - we divide both sides of the equation by (0.95602294455067) to get x
1164/0.95602294455067=x
1217.544=x
x=1217.544

now we have:
104.6% of 1164=1217.544