266.62 is what percent of 472 - 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 472 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 472, so we can write it down as 100%=472.
4. We know, that x% equals 266.62 of the output value, so we can write it down as x%=266.62.
5. Now we have two simple equations:
1) 100%=472
2) x%=266.62
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%=472/266.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 266.62 is what percent of 472

100%/x%=472/266.62
(100/x)*x=(472/266.62)*x       - we multiply both sides of the equation by x
100=1.7703098042157*x       - we divide both sides of the equation by (1.7703098042157) to get x
100/1.7703098042157=x
56.487288135593=x
x=56.487288135593

now we have:
266.62 is 56.487288135593% of 472