53 is what percent of 701 - 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 701 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 701, so we can write it down as 100%=701.
4. We know, that x% equals 53 of the output value, so we can write it down as x%=53.
5. Now we have two simple equations:
1) 100%=701
2) x%=53
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%=701/53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53 is what percent of 701

100%/x%=701/53
(100/x)*x=(701/53)*x       - we multiply both sides of the equation by x
100=13.22641509434*x       - we divide both sides of the equation by (13.22641509434) to get x
100/13.22641509434=x
7.5606276747504=x
x=7.5606276747504

now we have:
53 is 7.5606276747504% of 701