157.38 is what percent of 3500 - 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 3500 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 3500, so we can write it down as 100%=3500.
4. We know, that x% equals 157.38 of the output value, so we can write it down as x%=157.38.
5. Now we have two simple equations:
1) 100%=3500
2) x%=157.38
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%=3500/157.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.38 is what percent of 3500

100%/x%=3500/157.38
(100/x)*x=(3500/157.38)*x       - we multiply both sides of the equation by x
100=22.239166348964*x       - we divide both sides of the equation by (22.239166348964) to get x
100/22.239166348964=x
4.4965714285714=x
x=4.4965714285714

now we have:
157.38 is 4.4965714285714% of 3500