247.3 is what percent of 358.3 - 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 358.3 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 358.3, so we can write it down as 100%=358.3.
4. We know, that x% equals 247.3 of the output value, so we can write it down as x%=247.3.
5. Now we have two simple equations:
1) 100%=358.3
2) x%=247.3
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%=358.3/247.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 247.3 is what percent of 358.3

100%/x%=358.3/247.3
(100/x)*x=(358.3/247.3)*x       - we multiply both sides of the equation by x
100=1.4488475535786*x       - we divide both sides of the equation by (1.4488475535786) to get x
100/1.4488475535786=x
69.020373988278=x
x=69.020373988278

now we have:
247.3 is 69.020373988278% of 358.3