158.07 is what percent of 800 - 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 800 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 800, so we can write it down as 100%=800.
4. We know, that x% equals 158.07 of the output value, so we can write it down as x%=158.07.
5. Now we have two simple equations:
1) 100%=800
2) x%=158.07
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%=800/158.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 158.07 is what percent of 800

100%/x%=800/158.07
(100/x)*x=(800/158.07)*x       - we multiply both sides of the equation by x
100=5.061048902385*x       - we divide both sides of the equation by (5.061048902385) to get x
100/5.061048902385=x
19.75875=x
x=19.75875

now we have:
158.07 is 19.75875% of 800