75.6 is what percent of 217 - 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 217 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 217, so we can write it down as 100%=217.
4. We know, that x% equals 75.6 of the output value, so we can write it down as x%=75.6.
5. Now we have two simple equations:
1) 100%=217
2) x%=75.6
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%=217/75.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.6 is what percent of 217

100%/x%=217/75.6
(100/x)*x=(217/75.6)*x       - we multiply both sides of the equation by x
100=2.8703703703704*x       - we divide both sides of the equation by (2.8703703703704) to get x
100/2.8703703703704=x
34.838709677419=x
x=34.838709677419

now we have:
75.6 is 34.838709677419% of 217