89 is what percent of 12457 - 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 12457 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 12457, so we can write it down as 100%=12457.
4. We know, that x% equals 89 of the output value, so we can write it down as x%=89.
5. Now we have two simple equations:
1) 100%=12457
2) x%=89
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%=12457/89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89 is what percent of 12457

100%/x%=12457/89
(100/x)*x=(12457/89)*x       - we multiply both sides of the equation by x
100=139.96629213483*x       - we divide both sides of the equation by (139.96629213483) to get x
100/139.96629213483=x
0.71445773460705=x
x=0.71445773460705

now we have:
89 is 0.71445773460705% of 12457