What is 100.1 percent of 157 - 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 157 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 157 is 100%, so we can write it down as 157=100%.
4. We know, that x is 100.1% of the output value, so we can write it down as x=100.1%.
5. Now we have two simple equations:
1) 157=100%
2) x=100.1%
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:
157/x=100%/100.1%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 100.1% of 157

157/x=100/100.1
(157/x)*x=(100/100.1)*x       - we multiply both sides of the equation by x
157=0.999000999001*x       - we divide both sides of the equation by (0.999000999001) to get x
157/0.999000999001=x
157.157=x
x=157.157

now we have:
100.1% of 157=157.157