0.3 is what percent of 45.8 - 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 45.8 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 45.8, so we can write it down as 100%=45.8.
4. We know, that x% equals 0.3 of the output value, so we can write it down as x%=0.3.
5. Now we have two simple equations:
1) 100%=45.8
2) x%=0.3
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%=45.8/0.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.3 is what percent of 45.8

100%/x%=45.8/0.3
(100/x)*x=(45.8/0.3)*x       - we multiply both sides of the equation by x
100=152.66666666667*x       - we divide both sides of the equation by (152.66666666667) to get x
100/152.66666666667=x
0.65502183406114=x
x=0.65502183406114

now we have:
0.3 is 0.65502183406114% of 45.8