47.23 is what percent of 59.98 - 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 59.98 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 59.98, so we can write it down as 100%=59.98.
4. We know, that x% equals 47.23 of the output value, so we can write it down as x%=47.23.
5. Now we have two simple equations:
1) 100%=59.98
2) x%=47.23
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%=59.98/47.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.23 is what percent of 59.98

100%/x%=59.98/47.23
(100/x)*x=(59.98/47.23)*x       - we multiply both sides of the equation by x
100=1.2699555367351*x       - we divide both sides of the equation by (1.2699555367351) to get x
100/1.2699555367351=x
78.742914304768=x
x=78.742914304768

now we have:
47.23 is 78.742914304768% of 59.98