0.75 is what percent of 78.98 - 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 78.98 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 78.98, so we can write it down as 100%=78.98.
4. We know, that x% equals 0.75 of the output value, so we can write it down as x%=0.75.
5. Now we have two simple equations:
1) 100%=78.98
2) x%=0.75
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%=78.98/0.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.75 is what percent of 78.98

100%/x%=78.98/0.75
(100/x)*x=(78.98/0.75)*x       - we multiply both sides of the equation by x
100=105.30666666667*x       - we divide both sides of the equation by (105.30666666667) to get x
100/105.30666666667=x
0.9496074955685=x
x=0.9496074955685

now we have:
0.75 is 0.9496074955685% of 78.98