147.2 is what percent of 154.2 - 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 154.2 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 154.2, so we can write it down as 100%=154.2.
4. We know, that x% equals 147.2 of the output value, so we can write it down as x%=147.2.
5. Now we have two simple equations:
1) 100%=154.2
2) x%=147.2
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%=154.2/147.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 147.2 is what percent of 154.2

100%/x%=154.2/147.2
(100/x)*x=(154.2/147.2)*x       - we multiply both sides of the equation by x
100=1.0475543478261*x       - we divide both sides of the equation by (1.0475543478261) to get x
100/1.0475543478261=x
95.460440985733=x
x=95.460440985733

now we have:
147.2 is 95.460440985733% of 154.2