74.83 is what percent of 78.24 - 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 78.24 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 78.24, so we can write it down as 100%=78.24.
4. We know, that x% equals 74.83 of the output value, so we can write it down as x%=74.83.
5. Now we have two simple equations:
1) 100%=78.24
2) x%=74.83
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%=78.24/74.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.83 is what percent of 78.24

100%/x%=78.24/74.83
(100/x)*x=(78.24/74.83)*x       - we multiply both sides of the equation by x
100=1.0455699585728*x       - we divide both sides of the equation by (1.0455699585728) to get x
100/1.0455699585728=x
95.641615541922=x
x=95.641615541922

now we have:
74.83 is 95.641615541922% of 78.24