216.24 is what percent of 1457.7 - 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 1457.7 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 1457.7, so we can write it down as 100%=1457.7.
4. We know, that x% equals 216.24 of the output value, so we can write it down as x%=216.24.
5. Now we have two simple equations:
1) 100%=1457.7
2) x%=216.24
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%=1457.7/216.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 216.24 is what percent of 1457.7

100%/x%=1457.7/216.24
(100/x)*x=(1457.7/216.24)*x       - we multiply both sides of the equation by x
100=6.7411209766926*x       - we divide both sides of the equation by (6.7411209766926) to get x
100/6.7411209766926=x
14.834328051039=x
x=14.834328051039

now we have:
216.24 is 14.834328051039% of 1457.7