49.77 is what percent of 74.76 - 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 74.76 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 74.76, so we can write it down as 100%=74.76.
4. We know, that x% equals 49.77 of the output value, so we can write it down as x%=49.77.
5. Now we have two simple equations:
1) 100%=74.76
2) x%=49.77
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%=74.76/49.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.77 is what percent of 74.76

100%/x%=74.76/49.77
(100/x)*x=(74.76/49.77)*x       - we multiply both sides of the equation by x
100=1.5021097046414*x       - we divide both sides of the equation by (1.5021097046414) to get x
100/1.5021097046414=x
66.573033707865=x
x=66.573033707865

now we have:
49.77 is 66.573033707865% of 74.76