What is 66.7 percent of 46.2 - 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 46.2 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 46.2 is 100%, so we can write it down as 46.2=100%.
4. We know, that x is 66.7% of the output value, so we can write it down as x=66.7%.
5. Now we have two simple equations:
1) 46.2=100%
2) x=66.7%
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:
46.2/x=100%/66.7%
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 66.7% of 46.2

46.2/x=100/66.7
(46.2/x)*x=(100/66.7)*x       - we multiply both sides of the equation by x
46.2=1.4992503748126*x       - we divide both sides of the equation by (1.4992503748126) to get x
46.2/1.4992503748126=x
30.8154=x
x=30.8154

now we have:
66.7% of 46.2=30.8154