53.8 is what percent of 77.8 - 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 77.8 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 77.8, so we can write it down as 100%=77.8.
4. We know, that x% equals 53.8 of the output value, so we can write it down as x%=53.8.
5. Now we have two simple equations:
1) 100%=77.8
2) x%=53.8
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%=77.8/53.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.8 is what percent of 77.8

100%/x%=77.8/53.8
(100/x)*x=(77.8/53.8)*x       - we multiply both sides of the equation by x
100=1.4460966542751*x       - we divide both sides of the equation by (1.4460966542751) to get x
100/1.4460966542751=x
69.151670951157=x
x=69.151670951157

now we have:
53.8 is 69.151670951157% of 77.8