4.8 is what percent of 70.65 - 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 70.65 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 70.65, so we can write it down as 100%=70.65.
4. We know, that x% equals 4.8 of the output value, so we can write it down as x%=4.8.
5. Now we have two simple equations:
1) 100%=70.65
2) x%=4.8
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%=70.65/4.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.8 is what percent of 70.65

100%/x%=70.65/4.8
(100/x)*x=(70.65/4.8)*x       - we multiply both sides of the equation by x
100=14.71875*x       - we divide both sides of the equation by (14.71875) to get x
100/14.71875=x
6.7940552016985=x
x=6.7940552016985

now we have:
4.8 is 6.7940552016985% of 70.65