157.2 is what percent of 213 - 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 213 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 213, so we can write it down as 100%=213.
4. We know, that x% equals 157.2 of the output value, so we can write it down as x%=157.2.
5. Now we have two simple equations:
1) 100%=213
2) x%=157.2
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%=213/157.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.2 is what percent of 213

100%/x%=213/157.2
(100/x)*x=(213/157.2)*x       - we multiply both sides of the equation by x
100=1.3549618320611*x       - we divide both sides of the equation by (1.3549618320611) to get x
100/1.3549618320611=x
73.802816901408=x
x=73.802816901408

now we have:
157.2 is 73.802816901408% of 213