157.86 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 157.86 of the output value, so we can write it down as x%=157.86.
5. Now we have two simple equations:
1) 100%=800
2) x%=157.86
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%=800/157.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.86 is what percent of 800

100%/x%=800/157.86
(100/x)*x=(800/157.86)*x       - we multiply both sides of the equation by x
100=5.067781578614*x       - we divide both sides of the equation by (5.067781578614) to get x
100/5.067781578614=x
19.7325=x
x=19.7325

now we have:
157.86 is 19.7325% of 800