53.79 is what percent of 70 - 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 70 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 70, so we can write it down as 100%=70.
4. We know, that x% equals 53.79 of the output value, so we can write it down as x%=53.79.
5. Now we have two simple equations:
1) 100%=70
2) x%=53.79
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%=70/53.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.79 is what percent of 70

100%/x%=70/53.79
(100/x)*x=(70/53.79)*x       - we multiply both sides of the equation by x
100=1.301357129578*x       - we divide both sides of the equation by (1.301357129578) to get x
100/1.301357129578=x
76.842857142857=x
x=76.842857142857

now we have:
53.79 is 76.842857142857% of 70