75.6 is what percent of 474.3 - 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 474.3 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 474.3, so we can write it down as 100%=474.3.
4. We know, that x% equals 75.6 of the output value, so we can write it down as x%=75.6.
5. Now we have two simple equations:
1) 100%=474.3
2) x%=75.6
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%=474.3/75.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.6 is what percent of 474.3

100%/x%=474.3/75.6
(100/x)*x=(474.3/75.6)*x       - we multiply both sides of the equation by x
100=6.2738095238095*x       - we divide both sides of the equation by (6.2738095238095) to get x
100/6.2738095238095=x
15.939278937381=x
x=15.939278937381

now we have:
75.6 is 15.939278937381% of 474.3