79.46 is what percent of 78.75 - 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 78.75 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 78.75, so we can write it down as 100%=78.75.
4. We know, that x% equals 79.46 of the output value, so we can write it down as x%=79.46.
5. Now we have two simple equations:
1) 100%=78.75
2) x%=79.46
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%=78.75/79.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.46 is what percent of 78.75

100%/x%=78.75/79.46
(100/x)*x=(78.75/79.46)*x       - we multiply both sides of the equation by x
100=0.99106468663478*x       - we divide both sides of the equation by (0.99106468663478) to get x
100/0.99106468663478=x
100.90158730159=x
x=100.90158730159

now we have:
79.46 is 100.90158730159% of 78.75