158.36 is what percent of 1534.44 - 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 1534.44 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 1534.44, so we can write it down as 100%=1534.44.
4. We know, that x% equals 158.36 of the output value, so we can write it down as x%=158.36.
5. Now we have two simple equations:
1) 100%=1534.44
2) x%=158.36
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%=1534.44/158.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 158.36 is what percent of 1534.44

100%/x%=1534.44/158.36
(100/x)*x=(1534.44/158.36)*x       - we multiply both sides of the equation by x
100=9.6895680727456*x       - we divide both sides of the equation by (9.6895680727456) to get x
100/9.6895680727456=x
10.320377466698=x
x=10.320377466698

now we have:
158.36 is 10.320377466698% of 1534.44