27.8 is what percent of 74.3 - 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 74.3 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 74.3, so we can write it down as 100%=74.3.
4. We know, that x% equals 27.8 of the output value, so we can write it down as x%=27.8.
5. Now we have two simple equations:
1) 100%=74.3
2) x%=27.8
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%=74.3/27.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.8 is what percent of 74.3

100%/x%=74.3/27.8
(100/x)*x=(74.3/27.8)*x       - we multiply both sides of the equation by x
100=2.6726618705036*x       - we divide both sides of the equation by (2.6726618705036) to get x
100/2.6726618705036=x
37.415881561238=x
x=37.415881561238

now we have:
27.8 is 37.415881561238% of 74.3