56.35 is what percent of 298.76 - 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 298.76 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 298.76, so we can write it down as 100%=298.76.
4. We know, that x% equals 56.35 of the output value, so we can write it down as x%=56.35.
5. Now we have two simple equations:
1) 100%=298.76
2) x%=56.35
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%=298.76/56.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.35 is what percent of 298.76

100%/x%=298.76/56.35
(100/x)*x=(298.76/56.35)*x       - we multiply both sides of the equation by x
100=5.3018633540373*x       - we divide both sides of the equation by (5.3018633540373) to get x
100/5.3018633540373=x
18.861293345829=x
x=18.861293345829

now we have:
56.35 is 18.861293345829% of 298.76