52 is what percent of 974.8 - 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 974.8 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 974.8, so we can write it down as 100%=974.8.
4. We know, that x% equals 52 of the output value, so we can write it down as x%=52.
5. Now we have two simple equations:
1) 100%=974.8
2) x%=52
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%=974.8/52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52 is what percent of 974.8

100%/x%=974.8/52
(100/x)*x=(974.8/52)*x       - we multiply both sides of the equation by x
100=18.746153846154*x       - we divide both sides of the equation by (18.746153846154) to get x
100/18.746153846154=x
5.3344275748872=x
x=5.3344275748872

now we have:
52 is 5.3344275748872% of 974.8