0.46 is what percent of 70.08 - 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 70.08 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 70.08, so we can write it down as 100%=70.08.
4. We know, that x% equals 0.46 of the output value, so we can write it down as x%=0.46.
5. Now we have two simple equations:
1) 100%=70.08
2) x%=0.46
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%=70.08/0.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.46 is what percent of 70.08

100%/x%=70.08/0.46
(100/x)*x=(70.08/0.46)*x       - we multiply both sides of the equation by x
100=152.34782608696*x       - we divide both sides of the equation by (152.34782608696) to get x
100/152.34782608696=x
0.65639269406393=x
x=0.65639269406393

now we have:
0.46 is 0.65639269406393% of 70.08