47.95 is what percent of 701.2 - 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 701.2 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 100% equals 701.2, so we can write it down as 100%=701.2.
4. We know, that x% equals 47.95 of the output value, so we can write it down as x%=47.95.
5. Now we have two simple equations:
1) 100%=701.2
2) x%=47.95
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%=701.2/47.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.95 is what percent of 701.2

100%/x%=701.2/47.95
(100/x)*x=(701.2/47.95)*x       - we multiply both sides of the equation by x
100=14.623566214807*x       - we divide both sides of the equation by (14.623566214807) to get x
100/14.623566214807=x
6.8382772390188=x
x=6.8382772390188

now we have:
47.95 is 6.8382772390188% of 701.2