158.98 is what percent of 1070.23 - 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 1070.23 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 1070.23, so we can write it down as 100%=1070.23.
4. We know, that x% equals 158.98 of the output value, so we can write it down as x%=158.98.
5. Now we have two simple equations:
1) 100%=1070.23
2) x%=158.98
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%=1070.23/158.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 158.98 is what percent of 1070.23

100%/x%=1070.23/158.98
(100/x)*x=(1070.23/158.98)*x       - we multiply both sides of the equation by x
100=6.7318530632784*x       - we divide both sides of the equation by (6.7318530632784) to get x
100/6.7318530632784=x
14.854750847949=x
x=14.854750847949

now we have:
158.98 is 14.854750847949% of 1070.23