0.75 is what percent of 56.77 - 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 56.77 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 56.77, so we can write it down as 100%=56.77.
4. We know, that x% equals 0.75 of the output value, so we can write it down as x%=0.75.
5. Now we have two simple equations:
1) 100%=56.77
2) x%=0.75
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%=56.77/0.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.75 is what percent of 56.77

100%/x%=56.77/0.75
(100/x)*x=(56.77/0.75)*x       - we multiply both sides of the equation by x
100=75.693333333333*x       - we divide both sides of the equation by (75.693333333333) to get x
100/75.693333333333=x
1.3211203100229=x
x=1.3211203100229

now we have:
0.75 is 1.3211203100229% of 56.77