157.45 is what percent of 3955.17 - 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 3955.17 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 3955.17, so we can write it down as 100%=3955.17.
4. We know, that x% equals 157.45 of the output value, so we can write it down as x%=157.45.
5. Now we have two simple equations:
1) 100%=3955.17
2) x%=157.45
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%=3955.17/157.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.45 is what percent of 3955.17

100%/x%=3955.17/157.45
(100/x)*x=(3955.17/157.45)*x       - we multiply both sides of the equation by x
100=25.120165131788*x       - we divide both sides of the equation by (25.120165131788) to get x
100/25.120165131788=x
3.980865550659=x
x=3.980865550659

now we have:
157.45 is 3.980865550659% of 3955.17