74.8 is what percent of 382.2 - 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 382.2 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 382.2, so we can write it down as 100%=382.2.
4. We know, that x% equals 74.8 of the output value, so we can write it down as x%=74.8.
5. Now we have two simple equations:
1) 100%=382.2
2) x%=74.8
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%=382.2/74.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.8 is what percent of 382.2

100%/x%=382.2/74.8
(100/x)*x=(382.2/74.8)*x       - we multiply both sides of the equation by x
100=5.1096256684492*x       - we divide both sides of the equation by (5.1096256684492) to get x
100/5.1096256684492=x
19.570905285191=x
x=19.570905285191

now we have:
74.8 is 19.570905285191% of 382.2