47 is what percent of 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 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 77, so we can write it down as 100%=77.
4. We know, that x% equals 47 of the output value, so we can write it down as x%=47.
5. Now we have two simple equations:
1) 100%=77
2) x%=47
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%=77/47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47 is what percent of 77

100%/x%=77/47
(100/x)*x=(77/47)*x       - we multiply both sides of the equation by x
100=1.6382978723404*x       - we divide both sides of the equation by (1.6382978723404) to get x
100/1.6382978723404=x
61.038961038961=x
x=61.038961038961

now we have:
47 is 61.038961038961% of 77