157.3 is what percent of 458 - 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 458 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 458, so we can write it down as 100%=458.
4. We know, that x% equals 157.3 of the output value, so we can write it down as x%=157.3.
5. Now we have two simple equations:
1) 100%=458
2) x%=157.3
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%=458/157.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.3 is what percent of 458

100%/x%=458/157.3
(100/x)*x=(458/157.3)*x       - we multiply both sides of the equation by x
100=2.9116338207247*x       - we divide both sides of the equation by (2.9116338207247) to get x
100/2.9116338207247=x
34.344978165939=x
x=34.344978165939

now we have:
157.3 is 34.344978165939% of 458