157.33 is what percent of 435.98 - 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 435.98 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 435.98, so we can write it down as 100%=435.98.
4. We know, that x% equals 157.33 of the output value, so we can write it down as x%=157.33.
5. Now we have two simple equations:
1) 100%=435.98
2) x%=157.33
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%=435.98/157.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.33 is what percent of 435.98

100%/x%=435.98/157.33
(100/x)*x=(435.98/157.33)*x       - we multiply both sides of the equation by x
100=2.7711180321617*x       - we divide both sides of the equation by (2.7711180321617) to get x
100/2.7711180321617=x
36.086517730171=x
x=36.086517730171

now we have:
157.33 is 36.086517730171% of 435.98