59.26 is what percent of 663.26 - 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 663.26 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 663.26, so we can write it down as 100%=663.26.
4. We know, that x% equals 59.26 of the output value, so we can write it down as x%=59.26.
5. Now we have two simple equations:
1) 100%=663.26
2) x%=59.26
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%=663.26/59.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.26 is what percent of 663.26

100%/x%=663.26/59.26
(100/x)*x=(663.26/59.26)*x       - we multiply both sides of the equation by x
100=11.192372595343*x       - we divide both sides of the equation by (11.192372595343) to get x
100/11.192372595343=x
8.9346560926334=x
x=8.9346560926334

now we have:
59.26 is 8.9346560926334% of 663.26