157.67 is what percent of 1406.25 - 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 1406.25 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 1406.25, so we can write it down as 100%=1406.25.
4. We know, that x% equals 157.67 of the output value, so we can write it down as x%=157.67.
5. Now we have two simple equations:
1) 100%=1406.25
2) x%=157.67
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%=1406.25/157.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.67 is what percent of 1406.25

100%/x%=1406.25/157.67
(100/x)*x=(1406.25/157.67)*x       - we multiply both sides of the equation by x
100=8.9189446311917*x       - we divide both sides of the equation by (8.9189446311917) to get x
100/8.9189446311917=x
11.212088888889=x
x=11.212088888889

now we have:
157.67 is 11.212088888889% of 1406.25