53 is what percent of 1713 - 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 1713 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 1713, so we can write it down as 100%=1713.
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%=1713
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%=1713/53
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 1713

100%/x%=1713/53
(100/x)*x=(1713/53)*x       - we multiply both sides of the equation by x
100=32.320754716981*x       - we divide both sides of the equation by (32.320754716981) to get x
100/32.320754716981=x
3.0939871570344=x
x=3.0939871570344

now we have:
53 is 3.0939871570344% of 1713