248.27 is what percent of 358 - 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 358 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 358, so we can write it down as 100%=358.
4. We know, that x% equals 248.27 of the output value, so we can write it down as x%=248.27.
5. Now we have two simple equations:
1) 100%=358
2) x%=248.27
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%=358/248.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 248.27 is what percent of 358

100%/x%=358/248.27
(100/x)*x=(358/248.27)*x       - we multiply both sides of the equation by x
100=1.4419784911588*x       - we divide both sides of the equation by (1.4419784911588) to get x
100/1.4419784911588=x
69.349162011173=x
x=69.349162011173

now we have:
248.27 is 69.349162011173% of 358