178.72 is what percent of 283.2 - 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 283.2 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 283.2, so we can write it down as 100%=283.2.
4. We know, that x% equals 178.72 of the output value, so we can write it down as x%=178.72.
5. Now we have two simple equations:
1) 100%=283.2
2) x%=178.72
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%=283.2/178.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 178.72 is what percent of 283.2

100%/x%=283.2/178.72
(100/x)*x=(283.2/178.72)*x       - we multiply both sides of the equation by x
100=1.5846016114593*x       - we divide both sides of the equation by (1.5846016114593) to get x
100/1.5846016114593=x
63.107344632768=x
x=63.107344632768

now we have:
178.72 is 63.107344632768% of 283.2