46.78 is what percent of 51.98 - 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 51.98 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 51.98, so we can write it down as 100%=51.98.
4. We know, that x% equals 46.78 of the output value, so we can write it down as x%=46.78.
5. Now we have two simple equations:
1) 100%=51.98
2) x%=46.78
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%=51.98/46.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.78 is what percent of 51.98

100%/x%=51.98/46.78
(100/x)*x=(51.98/46.78)*x       - we multiply both sides of the equation by x
100=1.1111586147926*x       - we divide both sides of the equation by (1.1111586147926) to get x
100/1.1111586147926=x
89.996152366295=x
x=89.996152366295

now we have:
46.78 is 89.996152366295% of 51.98