157.4 is what percent of 167.4 - 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 167.4 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 167.4, so we can write it down as 100%=167.4.
4. We know, that x% equals 157.4 of the output value, so we can write it down as x%=157.4.
5. Now we have two simple equations:
1) 100%=167.4
2) x%=157.4
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%=167.4/157.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.4 is what percent of 167.4

100%/x%=167.4/157.4
(100/x)*x=(167.4/157.4)*x       - we multiply both sides of the equation by x
100=1.0635324015248*x       - we divide both sides of the equation by (1.0635324015248) to get x
100/1.0635324015248=x
94.026284348865=x
x=94.026284348865

now we have:
157.4 is 94.026284348865% of 167.4