157.8 is what percent of 178.4 - 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 178.4 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 178.4, so we can write it down as 100%=178.4.
4. We know, that x% equals 157.8 of the output value, so we can write it down as x%=157.8.
5. Now we have two simple equations:
1) 100%=178.4
2) x%=157.8
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%=178.4/157.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.8 is what percent of 178.4

100%/x%=178.4/157.8
(100/x)*x=(178.4/157.8)*x       - we multiply both sides of the equation by x
100=1.1305449936629*x       - we divide both sides of the equation by (1.1305449936629) to get x
100/1.1305449936629=x
88.452914798206=x
x=88.452914798206

now we have:
157.8 is 88.452914798206% of 178.4