67.5 is what percent of 120 - 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 120 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 120, so we can write it down as 100%=120.
4. We know, that x% equals 67.5 of the output value, so we can write it down as x%=67.5.
5. Now we have two simple equations:
1) 100%=120
2) x%=67.5
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%=120/67.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.5 is what percent of 120

100%/x%=120/67.5
(100/x)*x=(120/67.5)*x       - we multiply both sides of the equation by x
100=1.7777777777778*x       - we divide both sides of the equation by (1.7777777777778) to get x
100/1.7777777777778=x
56.25=x
x=56.25

now we have:
67.5 is 56.25% of 120