76.44 is what percent of 120.51 - 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 120.51 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 120.51, so we can write it down as 100%=120.51.
4. We know, that x% equals 76.44 of the output value, so we can write it down as x%=76.44.
5. Now we have two simple equations:
1) 100%=120.51
2) x%=76.44
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%=120.51/76.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.44 is what percent of 120.51

100%/x%=120.51/76.44
(100/x)*x=(120.51/76.44)*x       - we multiply both sides of the equation by x
100=1.5765306122449*x       - we divide both sides of the equation by (1.5765306122449) to get x
100/1.5765306122449=x
63.430420711974=x
x=63.430420711974

now we have:
76.44 is 63.430420711974% of 120.51