6.46 is what percent of 1812 - 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 1812 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 1812, so we can write it down as 100%=1812.
4. We know, that x% equals 6.46 of the output value, so we can write it down as x%=6.46.
5. Now we have two simple equations:
1) 100%=1812
2) x%=6.46
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:
100%/x%=1812/6.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.46 is what percent of 1812

100%/x%=1812/6.46
(100/x)*x=(1812/6.46)*x       - we multiply both sides of the equation by x
100=280.49535603715*x       - we divide both sides of the equation by (280.49535603715) to get x
100/280.49535603715=x
0.35651214128035=x
x=0.35651214128035

now we have:
6.46 is 0.35651214128035% of 1812