What is 46 percent of 1302.6 - 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 1302.6 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 1302.6 is 100%, so we can write it down as 1302.6=100%.
4. We know, that x is 46% of the output value, so we can write it down as x=46%.
5. Now we have two simple equations:
1) 1302.6=100%
2) x=46%
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:
1302.6/x=100%/46%
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 46% of 1302.6

1302.6/x=100/46
(1302.6/x)*x=(100/46)*x       - we multiply both sides of the equation by x
1302.6=2.1739130434783*x       - we divide both sides of the equation by (2.1739130434783) to get x
1302.6/2.1739130434783=x
599.196=x
x=599.196

now we have:
46% of 1302.6=599.196