502.68 is what percent of 1312 - 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 1312 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 1312, so we can write it down as 100%=1312.
4. We know, that x% equals 502.68 of the output value, so we can write it down as x%=502.68.
5. Now we have two simple equations:
1) 100%=1312
2) x%=502.68
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%=1312/502.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 502.68 is what percent of 1312

100%/x%=1312/502.68
(100/x)*x=(1312/502.68)*x       - we multiply both sides of the equation by x
100=2.6100103445532*x       - we divide both sides of the equation by (2.6100103445532) to get x
100/2.6100103445532=x
38.314024390244=x
x=38.314024390244

now we have:
502.68 is 38.314024390244% of 1312