0.89 is what percent of 0.57 - 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 0.57 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 0.57, so we can write it down as 100%=0.57.
4. We know, that x% equals 0.89 of the output value, so we can write it down as x%=0.89.
5. Now we have two simple equations:
1) 100%=0.57
2) x%=0.89
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%=0.57/0.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.89 is what percent of 0.57

100%/x%=0.57/0.89
(100/x)*x=(0.57/0.89)*x       - we multiply both sides of the equation by x
100=0.64044943820225*x       - we divide both sides of the equation by (0.64044943820225) to get x
100/0.64044943820225=x
156.14035087719=x
x=156.14035087719

now we have:
0.89 is 156.14035087719% of 0.57