47.99 is what percent of 67.99 - 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 67.99 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 67.99, so we can write it down as 100%=67.99.
4. We know, that x% equals 47.99 of the output value, so we can write it down as x%=47.99.
5. Now we have two simple equations:
1) 100%=67.99
2) x%=47.99
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%=67.99/47.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.99 is what percent of 67.99

100%/x%=67.99/47.99
(100/x)*x=(67.99/47.99)*x       - we multiply both sides of the equation by x
100=1.4167534903105*x       - we divide both sides of the equation by (1.4167534903105) to get x
100/1.4167534903105=x
70.583909398441=x
x=70.583909398441

now we have:
47.99 is 70.583909398441% of 67.99