0.3 is what percent of 75.8 - 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 75.8 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 75.8, so we can write it down as 100%=75.8.
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%=75.8
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%=75.8/0.3
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 75.8

100%/x%=75.8/0.3
(100/x)*x=(75.8/0.3)*x       - we multiply both sides of the equation by x
100=252.66666666667*x       - we divide both sides of the equation by (252.66666666667) to get x
100/252.66666666667=x
0.3957783641161=x
x=0.3957783641161

now we have:
0.3 is 0.3957783641161% of 75.8